10072939460800 has 336 divisors, whose sum is σ = 26031746361600. Its totient is φ = 3828981657600.

The previous prime is 10072939460729. The next prime is 10072939460819. The reversal of 10072939460800 is 806493927001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5216435835 + ... + 5216437765.

It is an arithmetic number, because the mean of its divisors is an integer number (77475435600).

Almost surely, 2^{10072939460800} is an apocalyptic number.

10072939460800 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 10072939460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015873180800).

10072939460800 is an abundant number, since it is smaller than the sum of its proper divisors (15958806900800).

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

10072939460800 is a wasteful number, since it uses less digits than its factorization.

10072939460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 10072939460800 in words is "ten trillion, seventy-two billion, nine hundred thirty-nine million, four hundred sixty thousand, eight hundred".