125998519680 has 960 divisors, whose sum is σ = 505249390800. Its totient is φ = 29889699840.

The previous prime is 125998519679. The next prime is 125998519681. The reversal of 125998519680 is 86915899521.

125998519680 is a `hidden beast` number, since 1 + 2 + 59 + 9 + 8 + 519 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125998519679) and next prime (125998519681).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125998519681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 332449731 + ... + 332450109.

Almost surely, 2^125998519680 is an apocalyptic number.

125998519680 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 125998519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252624695400).

125998519680 is an abundant number, since it is smaller than the sum of its proper divisors (379250871120).

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

125998519680 is a wasteful number, since it uses less digits than its factorization.

125998519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 125998519680 in words is "one hundred twenty-five billion, nine hundred ninety-eight million, five hundred nineteen thousand, six hundred eighty".