13238930592000 has 864 divisors, whose sum is σ = 49464348766560. Its totient is φ = 3395911680000.

The previous prime is 13238930591987. The next prime is 13238930592001. The reversal of 13238930592000 is 29503983231.

13238930592000 is a `hidden beast` number, since 1 + 3 + 23 + 8 + 9 + 30 + 592 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3697652093184 + 9541278498816 = 1922928^2 + 3088896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13238930592001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2346909180 + ... + 2346914820.

It is an arithmetic number, because the mean of its divisors is an integer number (57250403665).

Almost surely, 2^{13238930592000} is an apocalyptic number.

13238930592000 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 13238930592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24732174383280).

13238930592000 is an abundant number, since it is smaller than the sum of its proper divisors (36225418174560).

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

13238930592000 is a wasteful number, since it uses less digits than its factorization.

13238930592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13238930592000 in words is "thirteen trillion, two hundred thirty-eight billion, nine hundred thirty million, five hundred ninety-two thousand".