125609425920 has 1408 divisors, whose sum is σ = 532280263680. Its totient is φ = 27745320960.

The previous prime is 125609425859. The next prime is 125609425969. The reversal of 125609425920 is 29524906521.

125609425920 is a `hidden beast` number, since 1 + 2 + 56 + 0 + 9 + 4 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1111587784 + ... + 1111587896.

It is an arithmetic number, because the mean of its divisors is an integer number (378039960).

Almost surely, 2^125609425920 is an apocalyptic number.

125609425920 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 125609425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266140131840).

125609425920 is an abundant number, since it is smaller than the sum of its proper divisors (406670837760).

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

125609425920 is a wasteful number, since it uses less digits than its factorization.

125609425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 125609425920 in words is "one hundred twenty-five billion, six hundred nine million, four hundred twenty-five thousand, nine hundred twenty".