11987332560 has 600 divisors, whose sum is σ = 51005797920. Its totient is φ = 2594446848.

The previous prime is 11987332549. The next prime is 11987332571. The reversal of 11987332560 is 6523378911.

11987332560 is a `hidden beast` number, since 1 + 1 + 9 + 87 + 3 + 3 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11987332549) and next prime (11987332571).

It is a super-2 number, since 2×11987332560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6031887 + ... + 6033873.

Almost surely, 2^11987332560 is an apocalyptic number.

11987332560 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 11987332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502898960).

11987332560 is an abundant number, since it is smaller than the sum of its proper divisors (39018465360).

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

11987332560 is a wasteful number, since it uses less digits than its factorization.

11987332560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11987332560 in words is "eleven billion, nine hundred eighty-seven million, three hundred thirty-two thousand, five hundred sixty".