11875786560 has 336 divisors, whose sum is σ = 47184576192. Its totient is φ = 2709504000.

The previous prime is 11875786547. The next prime is 11875786583. The reversal of 11875786560 is 6568757811.

11875786560 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 5 + 78 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11875786497 and 11875786506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527535 + ... + 549585.

Almost surely, 2^11875786560 is an apocalyptic number.

11875786560 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 11875786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592288096).

11875786560 is an abundant number, since it is smaller than the sum of its proper divisors (35308789632).

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

11875786560 is a wasteful number, since it uses less digits than its factorization.

11875786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22102 (or 22089 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11875786560 in words is "eleven billion, eight hundred seventy-five million, seven hundred eighty-six thousand, five hundred sixty".