125760476160 has 528 divisors, whose sum is σ = 479105295552. Its totient is φ = 30248140800.

The previous prime is 125760476021. The next prime is 125760476197. The reversal of 125760476160 is 61674067521.

125760476160 is a `hidden beast` number, since 1 + 2 + 576 + 0 + 4 + 76 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69441655 + ... + 69443465.

Almost surely, 2^125760476160 is an apocalyptic number.

125760476160 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 125760476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239552647776).

125760476160 is an abundant number, since it is smaller than the sum of its proper divisors (353344819392).

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

125760476160 is a wasteful number, since it uses less digits than its factorization.

125760476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 125760476160 in words is "one hundred twenty-five billion, seven hundred sixty million, four hundred seventy-six thousand, one hundred sixty".