11757932160 has 256 divisors, whose sum is σ = 40663728000. Its totient is φ = 2872590336.

The previous prime is 11757932159. The next prime is 11757932177. The reversal of 11757932160 is 6123975711.

11757932160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3467746 + ... + 3471134.

Almost surely, 2^11757932160 is an apocalyptic number.

11757932160 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 11757932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20331864000).

11757932160 is an abundant number, since it is smaller than the sum of its proper divisors (28905795840).

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

11757932160 is a wasteful number, since it uses less digits than its factorization.

11757932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 11757932160 in words is "eleven billion, seven hundred fifty-seven million, nine hundred thirty-two thousand, one hundred sixty".