11964431160 has 256 divisors, whose sum is σ = 43623360000. Its totient is φ = 2892718080.

The previous prime is 11964431153. The next prime is 11964431201. The reversal of 11964431160 is 6113446911.

11964431160 is a `hidden beast` number, since 1 + 1 + 9 + 64 + 431 + 160 = 666.

It is a super-2 number, since 2×11964431160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 5332999 + ... + 5335241.

It is an arithmetic number, because the mean of its divisors is an integer number (170403750).

Almost surely, 2^11964431160 is an apocalyptic number.

11964431160 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 11964431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21811680000).

11964431160 is an abundant number, since it is smaller than the sum of its proper divisors (31658928840).

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

11964431160 is a wasteful number, since it uses less digits than its factorization.

11964431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11964431160 in words is "eleven billion, nine hundred sixty-four million, four hundred thirty-one thousand, one hundred sixty".