125334590855760 has 2880 divisors, whose sum is σ = 524277959063040. Its totient is φ = 26444829818880.

The previous prime is 125334590855743. The next prime is 125334590855801. The reversal of 125334590855760 is 67558095433521.

125334590855760 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 3 + 4 + 59 + 0 + 8 + 5 + 576 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1216840687869 + ... + 1216840687971.

It is an arithmetic number, because the mean of its divisors is an integer number (182040958008).

It is a 1-persistent number, because it is pandigital, but 2⋅125334590855760 = 250669181711520 is not.

Almost surely, 2^{125334590855760} is an apocalyptic number.

125334590855760 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 125334590855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262138979531520).

125334590855760 is an abundant number, since it is smaller than the sum of its proper divisors (398943368207280).

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

125334590855760 is a wasteful number, since it uses less digits than its factorization.

125334590855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 125334590855760 in words is "one hundred twenty-five trillion, three hundred thirty-four billion, five hundred ninety million, eight hundred fifty-five thousand, seven hundred sixty".