125290093420800 has 6480 divisors, whose sum is σ = 636288594923520. Its totient is φ = 23541497856000.

The previous prime is 125290093420777. The next prime is 125290093420861. The reversal of 125290093420800 is 8024390092521.

125290093420800 is a `hidden beast` number, since 1 + 2 + 52 + 90 + 0 + 93 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1716302649564 + ... + 1716302649636.

Almost surely, 2^{125290093420800} is an apocalyptic number.

125290093420800 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 125290093420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318144297461760).

125290093420800 is an abundant number, since it is smaller than the sum of its proper divisors (510998501502720).

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

125290093420800 is a wasteful number, since it uses less digits than its factorization.

125290093420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 125290093420800 in words is "one hundred twenty-five trillion, two hundred ninety billion, ninety-three million, four hundred twenty thousand, eight hundred".