10013296754304 has 768 divisors, whose sum is σ = 32354467891200. Its totient is φ = 3073146531840.

The previous prime is 10013296754257. The next prime is 10013296754401. The reversal of 10013296754304 is 40345769231001.

10013296754304 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 296 + 7 + 54 + 304 = 666.

It is a super-2 number, since 2×10013296754304² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10013296754304.

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, 10186466197 + ... + 10186467179.

It is an arithmetic number, because the mean of its divisors is an integer number (42128213400).

Almost surely, 2^{10013296754304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013296754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177233945600).

10013296754304 is an abundant number, since it is smaller than the sum of its proper divisors (22341171136896).

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

10013296754304 is an equidigital number, since it uses as much as digits as its factorization.

10013296754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10013296754304 in words is "ten trillion, thirteen billion, two hundred ninety-six million, seven hundred fifty-four thousand, three hundred four".