125630191814400 has 8640 divisors, whose sum is σ = 649183949568000. Its totient is φ = 23691035934720.

The previous prime is 125630191814363. The next prime is 125630191814429. The reversal of 125630191814400 is 4418191036521.

125630191814400 is a `hidden beast` number, since 1 + 2 + 5 + 63 + 0 + 1 + 9 + 181 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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 959 ways as a sum of consecutive naturals, for example, 903814329531 + ... + 903814329669.

It is an arithmetic number, because the mean of its divisors is an integer number (75137031200).

Almost surely, 2^{125630191814400} is an apocalyptic number.

125630191814400 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 125630191814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324591974784000).

125630191814400 is an abundant number, since it is smaller than the sum of its proper divisors (523553757753600).

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

125630191814400 is a wasteful number, since it uses less digits than its factorization.

125630191814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 125630191814400 in words is "one hundred twenty-five trillion, six hundred thirty billion, one hundred ninety-one million, eight hundred fourteen thousand, four hundred".