12992031158400 has 2304 divisors, whose sum is σ = 58174526592000. Its totient is φ = 2796851773440.

The previous prime is 12992031158389. The next prime is 12992031158423. The reversal of 12992031158400 is 485113029921.

12992031158400 is a `hidden beast` number, since 1 + 2 + 9 + 92 + 0 + 3 + 1 + 158 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27820194967 + ... + 27820195433.

It is an arithmetic number, because the mean of its divisors is an integer number (25249360500).

Almost surely, 2^{12992031158400} is an apocalyptic number.

12992031158400 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 12992031158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087263296000).

12992031158400 is an abundant number, since it is smaller than the sum of its proper divisors (45182495433600).

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

12992031158400 is a wasteful number, since it uses less digits than its factorization.

12992031158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12992031158400 in words is "twelve trillion, nine hundred ninety-two billion, thirty-one million, one hundred fifty-eight thousand, four hundred".