11832812974080 has 1248 divisors, whose sum is σ = 47649319511040. Its totient is φ = 2660365762560.

The previous prime is 11832812974069. The next prime is 11832812974091. The reversal of 11832812974080 is 8047921823811.

11832812974080 is a `hidden beast` number, since 11 + 83 + 28 + 129 + 7 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11832812974069) and next prime (11832812974091).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35748679515 + ... + 35748679845.

It is an arithmetic number, because the mean of its divisors is an integer number (38180544480).

Almost surely, 2^{11832812974080} is an apocalyptic number.

11832812974080 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 11832812974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23824659755520).

11832812974080 is an abundant number, since it is smaller than the sum of its proper divisors (35816506536960).

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

11832812974080 is a wasteful number, since it uses less digits than its factorization.

11832812974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11832812974080 in words is "eleven trillion, eight hundred thirty-two billion, eight hundred twelve million, nine hundred seventy-four thousand, eighty".