13072459050000 has 960 divisors, whose sum is σ = 55450025971200. Its totient is φ = 2884896000000.

The previous prime is 13072459049981. The next prime is 13072459050031. The reversal of 13072459050000 is 5095427031.

13072459050000 is a `hidden beast` number, since 1 + 30 + 72 + 4 + 59 + 0 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×13072459050000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 274026150 + ... + 274073850.

It is an arithmetic number, because the mean of its divisors is an integer number (57760443720).

Almost surely, 2^{13072459050000} is an apocalyptic number.

13072459050000 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 13072459050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725012985600).

13072459050000 is an abundant number, since it is smaller than the sum of its proper divisors (42377566921200).

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

13072459050000 is an equidigital number, since it uses as much as digits as its factorization.

13072459050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47779 (or 47747 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13072459050000 in words is "thirteen trillion, seventy-two billion, four hundred fifty-nine million, fifty thousand".