11987256960 has 512 divisors, whose sum is σ = 49005043200. Its totient is φ = 2712600576.

The previous prime is 11987256913. The next prime is 11987257021. The reversal of 11987256960 is 6965278911.

11987256960 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 72 + 569 + 6 + 0 = 666.

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 = 11987256897 and 11987256906.

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, 13668042 + ... + 13668918.

It is an arithmetic number, because the mean of its divisors is an integer number (95712975).

Almost surely, 2^11987256960 is an apocalyptic number.

11987256960 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 11987256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502521600).

11987256960 is an abundant number, since it is smaller than the sum of its proper divisors (37017786240).

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

11987256960 is a wasteful number, since it uses less digits than its factorization.

11987256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11987256960 in words is "eleven billion, nine hundred eighty-seven million, two hundred fifty-six thousand, nine hundred sixty".