11932942560 has 576 divisors, whose sum is σ = 48263040000. Its totient is φ = 2475432960.

The previous prime is 11932942529. The next prime is 11932942573. The reversal of 11932942560 is 6524923911.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 19921141 + ... + 19921739.

It is an arithmetic number, because the mean of its divisors is an integer number (83790000).

Almost surely, 2^11932942560 is an apocalyptic number.

11932942560 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 11932942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520000).

11932942560 is an abundant number, since it is smaller than the sum of its proper divisors (36330097440).

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

11932942560 is a wasteful number, since it uses less digits than its factorization.

11932942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 11932942560 in words is "eleven billion, nine hundred thirty-two million, nine hundred forty-two thousand, five hundred sixty".