11938896157200 has 120 divisors (see below), whose sum is σ = 39177051112416. Its totient is φ = 3106054272000.

The previous prime is 11938896157171. The next prime is 11938896157219. The reversal of 11938896157200 is 275169883911.

11938896157200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11938896157200² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121281046 + ... + 121379445.

Almost surely, 2^{11938896157200} is an apocalyptic number.

11938896157200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11938896157200 is an abundant number, since it is smaller than the sum of its proper divisors (27238154955216).

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

11938896157200 is a wasteful number, since it uses less digits than its factorization.

11938896157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242660553 (or 242660542 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 11938896157200 in words is "eleven trillion, nine hundred thirty-eight billion, eight hundred ninety-six million, one hundred fifty-seven thousand, two hundred".