11952064942992 has 480 divisors, whose sum is σ = 36200825856000. Its totient is φ = 3672515911680.

The previous prime is 11952064942981. The next prime is 11952064943003. The reversal of 11952064942992 is 29924946025911.

11952064942992 is a `hidden beast` number, since 1 + 1 + 9 + 52 + 0 + 6 + 494 + 2 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (11952064942981) and next prime (11952064943003).

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, 6993600634 + ... + 6993602342.

It is an arithmetic number, because the mean of its divisors is an integer number (75418387200).

Almost surely, 2^{11952064942992} is an apocalyptic number.

11952064942992 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 11952064942992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100412928000).

11952064942992 is an abundant number, since it is smaller than the sum of its proper divisors (24248760913008).

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

11952064942992 is a wasteful number, since it uses less digits than its factorization.

11952064942992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 11952064942992 in words is "eleven trillion, nine hundred fifty-two billion, sixty-four million, nine hundred forty-two thousand, nine hundred ninety-two".