125840956790520 has 768 divisors, whose sum is σ = 431414341263360. Its totient is φ = 31772321280000.

The previous prime is 125840956790519. The next prime is 125840956790567. The reversal of 125840956790520 is 25097659048521.

125840956790520 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 40 + 9 + 5 + 67 + 9 + 0 + 520 = 666.

125840956790520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118605990790 + ... + 118605991850.

It is an arithmetic number, because the mean of its divisors is an integer number (561737423520).

Almost surely, 2^{125840956790520} is an apocalyptic number.

125840956790520 is a gapful number since it is divisible by the number (10) 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 125840956790520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215707170631680).

125840956790520 is an abundant number, since it is smaller than the sum of its proper divisors (305573384472840).

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

125840956790520 is a wasteful number, since it uses less digits than its factorization.

125840956790520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 125840956790520 in words is "one hundred twenty-five trillion, eight hundred forty billion, nine hundred fifty-six million, seven hundred ninety thousand, five hundred twenty".