125640470995200 has 5184 divisors, whose sum is σ = 574736014540800. Its totient is φ = 26737695129600.

The previous prime is 125640470995157. The next prime is 125640470995213. The reversal of 125640470995200 is 2599074046521.

It is a happy number.

125640470995200 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 40 + 4 + 70 + 9 + 9 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1513740614359 + ... + 1513740614441.

Almost surely, 2^{125640470995200} is an apocalyptic number.

125640470995200 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 125640470995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287368007270400).

125640470995200 is an abundant number, since it is smaller than the sum of its proper divisors (449095543545600).

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

125640470995200 is a wasteful number, since it uses less digits than its factorization.

125640470995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 125640470995200 in words is "one hundred twenty-five trillion, six hundred forty billion, four hundred seventy million, nine hundred ninety-five thousand, two hundred".