125804078400 has 672 divisors, whose sum is σ = 554192529408. Its totient is φ = 24129331200.

The previous prime is 125804078371. The next prime is 125804078423. The reversal of 125804078400 is 4870408521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×125804078400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4791709 + ... + 4817891.

It is an arithmetic number, because the mean of its divisors is an integer number (824691264).

Almost surely, 2^125804078400 is an apocalyptic number.

125804078400 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 125804078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277096264704).

125804078400 is an abundant number, since it is smaller than the sum of its proper divisors (428388451008).

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

125804078400 is a wasteful number, since it uses less digits than its factorization.

125804078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26239 (or 26224 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 125804078400 in words is "one hundred twenty-five billion, eight hundred four million, seventy-eight thousand, four hundred".