10125157522304 has 256 divisors, whose sum is σ = 23821983230400. Its totient is φ = 4249735659520.

The previous prime is 10125157522303. The next prime is 10125157522373. The reversal of 10125157522304 is 40322575152101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125157522301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366613904 + ... + 366641520.

Almost surely, 2^{10125157522304} 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 10125157522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910991615200).

10125157522304 is an abundant number, since it is smaller than the sum of its proper divisors (13696825708096).

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

10125157522304 is an equidigital number, since it uses as much as digits as its factorization.

10125157522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27746 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 10125157522304 in words is "ten trillion, one hundred twenty-five billion, one hundred fifty-seven million, five hundred twenty-two thousand, three hundred four".