125027728896 has 960 divisors, whose sum is σ = 446708908800. Its totient is φ = 30767579136.

The previous prime is 125027728867. The next prime is 125027728901. The reversal of 125027728896 is 698827720521.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 899479995 + ... + 899480133.

It is an arithmetic number, because the mean of its divisors is an integer number (465321780).

Almost surely, 2^125027728896 is an apocalyptic number.

125027728896 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 125027728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223354454400).

125027728896 is an abundant number, since it is smaller than the sum of its proper divisors (321681179904).

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

125027728896 is a wasteful number, since it uses less digits than its factorization.

125027728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 125027728896 in words is "one hundred twenty-five billion, twenty-seven million, seven hundred twenty-eight thousand, eight hundred ninety-six".