10107972605584 has 240 divisors, whose sum is σ = 24229915257600. Its totient is φ = 4075523020800.

The previous prime is 10107972605573. The next prime is 10107972605617. The reversal of 10107972605584 is 48550627970101.

It is a super-2 number, since 2×10107972605584² (a number of 27 digits) contains 22 as substring.

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, 469668744 + ... + 469690264.

It is an arithmetic number, because the mean of its divisors is an integer number (100957980240).

Almost surely, 2^{10107972605584} is an apocalyptic number.

10107972605584 is a gapful number since it is divisible by the number (14) 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 10107972605584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114957628800).

10107972605584 is an abundant number, since it is smaller than the sum of its proper divisors (14121942652016).

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

10107972605584 is an equidigital number, since it uses as much as digits as its factorization.

10107972605584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695 (or 21614 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 10107972605584 in words is "ten trillion, one hundred seven billion, nine hundred seventy-two million, six hundred five thousand, five hundred eighty-four".