11875567760 has 160 divisors (see below), whose sum is σ = 32321002752. Its totient is φ = 3973939200.

The previous prime is 11875567757. The next prime is 11875567783. The reversal of 11875567760 is 6776557811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4238360 + ... + 4241160.

Almost surely, 2^11875567760 is an apocalyptic number.

11875567760 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 11875567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160501376).

11875567760 is an abundant number, since it is smaller than the sum of its proper divisors (20445434992).

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

11875567760 is a wasteful number, since it uses less digits than its factorization.

11875567760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 53.

The spelling of 11875567760 in words is "eleven billion, eight hundred seventy-five million, five hundred sixty-seven thousand, seven hundred sixty".