125362630800 has 1680 divisors, whose sum is σ = 553588585920. Its totient is φ = 27097804800.

The previous prime is 125362630793. The next prime is 125362630853. The reversal of 125362630800 is 8036263521.

125362630800 = 18696² + 18697² + ... + 19047².

It is a happy number.

125362630800 is a `hidden beast` number, since 1 + 25 + 3 + 626 + 3 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6598033191 + ... + 6598033209.

Almost surely, 2^125362630800 is an apocalyptic number.

125362630800 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 125362630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276794292960).

125362630800 is an abundant number, since it is smaller than the sum of its proper divisors (428225955120).

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

125362630800 is a wasteful number, since it uses less digits than its factorization.

125362630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 125362630800 in words is "one hundred twenty-five billion, three hundred sixty-two million, six hundred thirty thousand, eight hundred".