11980560960 has 896 divisors, whose sum is σ = 48587558400. Its totient is φ = 2794881024.

The previous prime is 11980560959. The next prime is 11980560983. The reversal of 11980560960 is 6906508911.

11980560960 is a `hidden beast` number, since 1 + 1 + 9 + 80 + 560 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×11980560960² (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 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 127 ways as a sum of consecutive naturals, for example, 226048294 + ... + 226048346.

Almost surely, 2^11980560960 is an apocalyptic number.

11980560960 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 11980560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293779200).

11980560960 is an abundant number, since it is smaller than the sum of its proper divisors (36606997440).

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

11980560960 is an equidigital number, since it uses as much as digits as its factorization.

11980560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11980560960 in words is "eleven billion, nine hundred eighty million, five hundred sixty thousand, nine hundred sixty".