125769981600 has 216 divisors, whose sum is σ = 445151938140. Its totient is φ = 33413468160.

The previous prime is 125769981581. The next prime is 125769981619. The reversal of 125769981600 is 6189967521.

125769981600 is a `hidden beast` number, since 1 + 2 + 576 + 9 + 9 + 8 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125769981581) and next prime (125769981619).

It can be written as a sum of positive squares in 6 ways, for example, as 40059221904 + 85710759696 = 200148^2 + 292764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1904332 + ... + 1969268.

Almost surely, 2^125769981600 is an apocalyptic number.

125769981600 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 125769981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222575969070).

125769981600 is an abundant number, since it is smaller than the sum of its proper divisors (319381956540).

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

125769981600 is a wasteful number, since it uses less digits than its factorization.

125769981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65232 (or 65216 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 125769981600 in words is "one hundred twenty-five billion, seven hundred sixty-nine million, nine hundred eighty-one thousand, six hundred".