125707814496 has 576 divisors, whose sum is σ = 431532541440. Its totient is φ = 34298880000.

The previous prime is 125707814489. The next prime is 125707814501. The reversal of 125707814496 is 694418707521.

125707814496 is a `hidden beast` number, since 1 + 2 + 5 + 70 + 7 + 81 + 4 + 496 = 666.

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, 86634571 + ... + 86636021.

It is an arithmetic number, because the mean of its divisors is an integer number (749188440).

Almost surely, 2^125707814496 is an apocalyptic number.

125707814496 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 125707814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215766270720).

125707814496 is an abundant number, since it is smaller than the sum of its proper divisors (305824726944).

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

125707814496 is a wasteful number, since it uses less digits than its factorization.

125707814496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 125707814496 in words is "one hundred twenty-five billion, seven hundred seven million, eight hundred fourteen thousand, four hundred ninety-six".