125810979840 has 1408 divisors, whose sum is σ = 561898552320. Its totient is φ = 25990004736.

The previous prime is 125810979799. The next prime is 125810979907. The reversal of 125810979840 is 48979018521.

It is a happy number.

125810979840 is a `hidden beast` number, since 12 + 581 + 0 + 9 + 7 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 918328252 + ... + 918328388.

Almost surely, 2^125810979840 is an apocalyptic number.

125810979840 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 125810979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280949276160).

125810979840 is an abundant number, since it is smaller than the sum of its proper divisors (436087572480).

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

125810979840 is a wasteful number, since it uses less digits than its factorization.

125810979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 125810979840 in words is "one hundred twenty-five billion, eight hundred ten million, nine hundred seventy-nine thousand, eight hundred forty".