125583628800 has 720 divisors, whose sum is σ = 498388315392. Its totient is φ = 27765964800.

The previous prime is 125583628783. The next prime is 125583628813. The reversal of 125583628800 is 8826385521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125583628800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58328524 + ... + 58330676.

Almost surely, 2^125583628800 is an apocalyptic number.

125583628800 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 125583628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249194157696).

125583628800 is an abundant number, since it is smaller than the sum of its proper divisors (372804686592).

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

125583628800 is a wasteful number, since it uses less digits than its factorization.

125583628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 125583628800 in words is "one hundred twenty-five billion, five hundred eighty-three million, six hundred twenty-eight thousand, eight hundred".