11642938125 has 240 divisors, whose sum is σ = 24971506560. Its totient is φ = 4717440000.

The previous prime is 11642938117. The next prime is 11642938147. The reversal of 11642938125 is 52183924611.

It is not a de Polignac number, because 11642938125 - 2³ = 11642938117 is a prime.

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, 64325535 + ... + 64325715.

It is an arithmetic number, because the mean of its divisors is an integer number (104047944).

Almost surely, 2^11642938125 is an apocalyptic number.

11642938125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11642938125 is an abundant number, since it is smaller than the sum of its proper divisors (13328568435).

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

11642938125 is a wasteful number, since it uses less digits than its factorization.

11642938125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 11642938125 in words is "eleven billion, six hundred forty-two million, nine hundred thirty-eight thousand, one hundred twenty-five".