10251055125600 has 144 divisors (see below), whose sum is σ = 34443545472000. Its totient is φ = 2645433561600.

The previous prime is 10251055125581. The next prime is 10251055125601. The reversal of 10251055125600 is 652155015201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10251055125601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68817100 + ... + 68965899.

It is an arithmetic number, because the mean of its divisors is an integer number (239191288000).

Almost surely, 2^{10251055125600} is an apocalyptic number.

10251055125600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10251055125600 is an abundant number, since it is smaller than the sum of its proper divisors (24192490346400).

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

10251055125600 is a wasteful number, since it uses less digits than its factorization.

10251055125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137783053 (or 137783040 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 10251055125600 in words is "ten trillion, two hundred fifty-one billion, fifty-five million, one hundred twenty-five thousand, six hundred".