10125916313472 has 384 divisors, whose sum is σ = 30402882837600. Its totient is φ = 3354663444480.

The previous prime is 10125916313459. The next prime is 10125916313477. The reversal of 10125916313472 is 27431361952101.

10125916313472 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 9 + 1 + 631 + 3 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125916313477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6246708822 + ... + 6246710442.

Almost surely, 2^{10125916313472} is an apocalyptic number.

10125916313472 is a gapful number since it is divisible by the number (12) 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 10125916313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201441418800).

10125916313472 is an abundant number, since it is smaller than the sum of its proper divisors (20276966524128).

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

10125916313472 is an equidigital number, since it uses as much as digits as its factorization.

10125916313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10125916313472 in words is "ten trillion, one hundred twenty-five billion, nine hundred sixteen million, three hundred thirteen thousand, four hundred seventy-two".