11875368960 has 960 divisors, whose sum is σ = 52846617600. Its totient is φ = 2463105024.

The previous prime is 11875368959. The next prime is 11875368983. The reversal of 11875368960 is 6986357811.

11875368960 is a `hidden beast` number, since 1 + 18 + 7 + 536 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11875368960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11875368897 and 11875368906.

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, 201277411 + ... + 201277469.

It is an arithmetic number, because the mean of its divisors is an integer number (55048560).

Almost surely, 2^11875368960 is an apocalyptic number.

11875368960 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 11875368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26423308800).

11875368960 is an abundant number, since it is smaller than the sum of its proper divisors (40971248640).

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

11875368960 is an equidigital number, since it uses as much as digits as its factorization.

11875368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11875368960 in words is "eleven billion, eight hundred seventy-five million, three hundred sixty-eight thousand, nine hundred sixty".