11957060160 has 448 divisors, whose sum is σ = 45085040640. Its totient is φ = 2972712960.

The previous prime is 11957060149. The next prime is 11957060161. The reversal of 11957060160 is 6106075911.

It is a happy number.

11957060160 is a `hidden beast` number, since 1 + 19 + 570 + 60 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11957060161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18653440 + ... + 18654080.

Almost surely, 2^11957060160 is an apocalyptic number.

11957060160 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 11957060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22542520320).

11957060160 is an abundant number, since it is smaller than the sum of its proper divisors (33127980480).

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

11957060160 is a wasteful number, since it uses less digits than its factorization.

11957060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11957060160 in words is "eleven billion, nine hundred fifty-seven million, sixty thousand, one hundred sixty".