11875397713920 has 1440 divisors, whose sum is σ = 46507445624640. Its totient is φ = 2889476997120.

The previous prime is 11875397713919. The next prime is 11875397713939. The reversal of 11875397713920 is 2931779357811.

11875397713920 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 539 + 7 + 7 + 1 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28207595310 + ... + 28207595730.

Almost surely, 2^{11875397713920} is an apocalyptic number.

11875397713920 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 11875397713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253722812320).

11875397713920 is an abundant number, since it is smaller than the sum of its proper divisors (34632047910720).

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

11875397713920 is an equidigital number, since it uses as much as digits as its factorization.

11875397713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 11875397713920 in words is "eleven trillion, eight hundred seventy-five billion, three hundred ninety-seven million, seven hundred thirteen thousand, nine hundred twenty".