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11997236455680 = 28357319746237
BaseRepresentation
bin1010111010010101001100…
…0001000110100100000000
31120110220222000222111200010
42232211103001012210000
53033030320013040210
641303242045424520
72345525463201000
oct256452301064400
946426860874603
1011997236455680
113905aaa237083
12141918a26b140
13690446cb7b68
142d6952968000
1515c1204d7920
hexae953046900

11997236455680 has 576 divisors, whose sum is σ = 44911376294400. Its totient is φ = 2728246542336.

The previous prime is 11997236455679. The next prime is 11997236455681. The reversal of 11997236455680 is 8655463279911.

It is an interprime number because it is at equal distance from previous prime (11997236455679) and next prime (11997236455681).

It is not an unprimeable number, because it can be changed into a prime (11997236455681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259449522 + ... + 259495758.

It is an arithmetic number, because the mean of its divisors is an integer number (77971139400).

It is a 1-persistent number, because it is pandigital, but 2⋅11997236455680 = 23994472911360 is not.

Almost surely, 211997236455680 is an apocalyptic number.

11997236455680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11997236455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455688147200).

11997236455680 is an abundant number, since it is smaller than the sum of its proper divisors (32914139838720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11997236455680 is an equidigital number, since it uses as much as digits as its factorization.

11997236455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46479 (or 46451 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 11997236455680 in words is "eleven trillion, nine hundred ninety-seven billion, two hundred thirty-six million, four hundred fifty-five thousand, six hundred eighty".