10084457815125 has 32 divisors (see below), whose sum is σ = 16782148131840. Its totient is φ = 5377861371200.

The previous prime is 10084457815123. The next prime is 10084457815177. The reversal of 10084457815125 is 52151875448001.

It is a happy number.

10084457815125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10084457815125 - 2¹ = 10084457815123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084457815123) 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, 2638531 + ... + 5208719.

It is an arithmetic number, because the mean of its divisors is an integer number (524442129120).

Almost surely, 2^{10084457815125} is an apocalyptic number.

10084457815125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10084457815125 is a deficient number, since it is larger than the sum of its proper divisors (6697690316715).

10084457815125 is a wasteful number, since it uses less digits than its factorization.

10084457815125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580670 (or 2580660 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 51.

The spelling of 10084457815125 in words is "ten trillion, eighty-four billion, four hundred fifty-seven million, eight hundred fifteen thousand, one hundred twenty-five".