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11928700080000 = 2732541117194663
BaseRepresentation
bin1010110110010101110111…
…1011100100111110000000
31120020101001121200212220200
42231211131323210332000
53030414434210030000
641211545201205200
72340551210464434
oct255453573447600
946211047625820
1011928700080000
113889a2a23a690
121407a41630800
13686b43b67802
142d34d04a69c4
1515a45d638500
hexad95dee4f80

11928700080000 has 1920 divisors, whose sum is σ = 52164716947200. Its totient is φ = 2577899520000.

The previous prime is 11928700079969. The next prime is 11928700080013. The reversal of 11928700080000 is 8000782911.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2558157669 + ... + 2558162331.

It is an arithmetic number, because the mean of its divisors is an integer number (27169123410).

Almost surely, 211928700080000 is an apocalyptic number.

11928700080000 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 11928700080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26082358473600).

11928700080000 is an abundant number, since it is smaller than the sum of its proper divisors (40236016867200).

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

11928700080000 is a wasteful number, since it uses less digits than its factorization.

11928700080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11928700080000 in words is "eleven trillion, nine hundred twenty-eight billion, seven hundred million, eighty thousand".