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11397888000 = 21133531797
BaseRepresentation
bin10101001110101110…
…11111100000000000
31002102100010200222000
422213113133200000
5141320324404000
65123000144000
7552310310112
oct124727374000
932370120860
1011397888000
1149198a0a54
122261168000
1310c84a9835
147a1a853b2
1546a987000
hex2a75df800

11397888000 has 768 divisors, whose sum is σ = 45075139200. Its totient is φ = 2831155200.

The previous prime is 11397887929. The next prime is 11397888013. The reversal of 11397888000 is 88879311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117503952 + ... + 117504048.

Almost surely, 211397888000 is an apocalyptic number.

11397888000 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 11397888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

11397888000 is an abundant number, since it is smaller than the sum of its proper divisors (33677251200).

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

11397888000 is an equidigital number, since it uses as much as digits as its factorization.

11397888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11397888000 in words is "eleven billion, three hundred ninety-seven million, eight hundred eighty-eight thousand".