125803873934400 has 168 divisors, whose sum is σ = 413080708955040. Its totient is φ = 33520132259840.

The previous prime is 125803873934393. The next prime is 125803873934407. The reversal of 125803873934400 is 4439378308521.

It is an interprime number because it is at equal distance from previous prime (125803873934393) and next prime (125803873934407).

It is a super-2 number, since 2×125803873934400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125803873934407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4926330 + ... + 16609529.

It is an arithmetic number, because the mean of its divisors is an integer number (2458813743780).

Almost surely, 2^{125803873934400} is an apocalyptic number.

125803873934400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125803873934400 is an abundant number, since it is smaller than the sum of its proper divisors (287276835020640).

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

125803873934400 is a wasteful number, since it uses less digits than its factorization.

125803873934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537101 (or 21537086 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 125803873934400 in words is "one hundred twenty-five trillion, eight hundred three billion, eight hundred seventy-three million, nine hundred thirty-four thousand, four hundred".