125788439755520 has 576 divisors, whose sum is σ = 321051774960000. Its totient is φ = 47160906743808.

The previous prime is 125788439755507. The next prime is 125788439755619. The reversal of 125788439755520 is 25557934887521.

It is a super-2 number, since 2×125788439755520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33286168991 + ... + 33286172769.

It is an arithmetic number, because the mean of its divisors is an integer number (557381553750).

Almost surely, 2^{125788439755520} is an apocalyptic number.

125788439755520 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 125788439755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160525887480000).

125788439755520 is an abundant number, since it is smaller than the sum of its proper divisors (195263335204480).

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

125788439755520 is a wasteful number, since it uses less digits than its factorization.

125788439755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 71.

The spelling of 125788439755520 in words is "one hundred twenty-five trillion, seven hundred eighty-eight billion, four hundred thirty-nine million, seven hundred fifty-five thousand, five hundred twenty".