11976160560 has 960 divisors, whose sum is σ = 50796748800. Its totient is φ = 2316625920.

The previous prime is 11976160531. The next prime is 11976160571. The reversal of 11976160560 is 6506167911.

11976160560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386327745 + ... + 386327775.

It is an arithmetic number, because the mean of its divisors is an integer number (52913280).

Almost surely, 2^11976160560 is an apocalyptic number.

11976160560 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 11976160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398374400).

11976160560 is an abundant number, since it is smaller than the sum of its proper divisors (38820588240).

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

11976160560 is a wasteful number, since it uses less digits than its factorization.

11976160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 11976160560 in words is "eleven billion, nine hundred seventy-six million, one hundred sixty thousand, five hundred sixty".