125791600640 has 256 divisors, whose sum is σ = 336619216800. Its totient is φ = 44845498368.

The previous prime is 125791600633. The next prime is 125791600643. The reversal of 125791600640 is 46006197521.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125791600643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52919132 + ... + 52921508.

Almost surely, 2^125791600640 is an apocalyptic number.

125791600640 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 125791600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168309608400).

125791600640 is an abundant number, since it is smaller than the sum of its proper divisors (210827616160).

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

125791600640 is an equidigital number, since it uses as much as digits as its factorization.

125791600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 125791600640 in words is "one hundred twenty-five billion, seven hundred ninety-one million, six hundred thousand, six hundred forty".