125479088640 has 960 divisors, whose sum is σ = 481266339840. Its totient is φ = 30098718720.

The previous prime is 125479088629. The next prime is 125479088653. The reversal of 125479088640 is 46880974521.

It is a happy number.

125479088640 is a `hidden beast` number, since 1 + 2 + 547 + 90 + 8 + 8 + 6 + 4 + 0 = 666.

125479088640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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, 988024257 + ... + 988024383.

It is an arithmetic number, because the mean of its divisors is an integer number (501319104).

Almost surely, 2^125479088640 is an apocalyptic number.

125479088640 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 125479088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240633169920).

125479088640 is an abundant number, since it is smaller than the sum of its proper divisors (355787251200).

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

125479088640 is a wasteful number, since it uses less digits than its factorization.

125479088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 125479088640 in words is "one hundred twenty-five billion, four hundred seventy-nine million, eighty-eight thousand, six hundred forty".