11676096432 has 960 divisors, whose sum is σ = 47402680320. Its totient is φ = 2668723200.

The previous prime is 11676096407. The next prime is 11676096449. The reversal of 11676096432 is 23469067611.

11676096432 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 609 + 6 + 4 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174270063 + ... + 174270129.

It is an arithmetic number, because the mean of its divisors is an integer number (49377792).

Almost surely, 2^11676096432 is an apocalyptic number.

11676096432 is a gapful number since it is divisible by the number (12) 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 11676096432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701340160).

11676096432 is an abundant number, since it is smaller than the sum of its proper divisors (35726583888).

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

11676096432 is a wasteful number, since it uses less digits than its factorization.

11676096432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 11676096 and 432, that added together give a triangular number (11676528 = T₄₈₃₂).

The spelling of 11676096432 in words is "eleven billion, six hundred seventy-six million, ninety-six thousand, four hundred thirty-two".