125830972800 has 960 divisors, whose sum is σ = 506182446000. Its totient is φ = 30596382720.

The previous prime is 125830972727. The next prime is 125830972823. The reversal of 125830972800 is 8279038521.

It is a happy number.

125830972800 is a `hidden beast` number, since 1 + 258 + 30 + 97 + 280 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 360547026 + ... + 360547374.

Almost surely, 2^125830972800 is an apocalyptic number.

125830972800 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 125830972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253091223000).

125830972800 is an abundant number, since it is smaller than the sum of its proper divisors (380351473200).

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

125830972800 is a wasteful number, since it uses less digits than its factorization.

125830972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125830972800 in words is "one hundred twenty-five billion, eight hundred thirty million, nine hundred seventy-two thousand, eight hundred".