125777428896 has 576 divisors, whose sum is σ = 424438963200. Its totient is φ = 32369541120.

The previous prime is 125777428883. The next prime is 125777428921. The reversal of 125777428896 is 698824777521.

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, 280127680 + ... + 280128128.

It is an arithmetic number, because the mean of its divisors is an integer number (736873200).

Almost surely, 2^125777428896 is an apocalyptic number.

125777428896 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 125777428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212219481600).

125777428896 is an abundant number, since it is smaller than the sum of its proper divisors (298661534304).

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

125777428896 is a wasteful number, since it uses less digits than its factorization.

125777428896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 66.

The spelling of 125777428896 in words is "one hundred twenty-five billion, seven hundred seventy-seven million, four hundred twenty-eight thousand, eight hundred ninety-six".