125708360472576 has 1152 divisors, whose sum is σ = 446019914995200. Its totient is φ = 34267391262720.

The previous prime is 125708360472557. The next prime is 125708360472619. The reversal of 125708360472576 is 675274063807521.

It is a happy number.

125708360472576 is a `hidden beast` number, since 1 + 2 + 57 + 0 + 8 + 3 + 6 + 0 + 4 + 7 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155004143211 + ... + 155004144021.

It is an arithmetic number, because the mean of its divisors is an integer number (387170065100).

Almost surely, 2^{125708360472576} is an apocalyptic number.

125708360472576 is a gapful number since it is divisible by the number (16) 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 125708360472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223009957497600).

125708360472576 is an abundant number, since it is smaller than the sum of its proper divisors (320311554522624).

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

125708360472576 is an equidigital number, since it uses as much as digits as its factorization.

125708360472576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 125708360472576 in words is "one hundred twenty-five trillion, seven hundred eight billion, three hundred sixty million, four hundred seventy-two thousand, five hundred seventy-six".