125191045324800 has 3360 divisors, whose sum is σ = 576164155133952. Its totient is φ = 26165819473920.

The previous prime is 125191045324781. The next prime is 125191045324847. The reversal of 125191045324800 is 8423540191521.

125191045324800 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 9 + 104 + 532 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×125191045324800² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 191716761274 + ... + 191716761926.

Almost surely, 2^{125191045324800} is an apocalyptic number.

125191045324800 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 125191045324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288082077566976).

125191045324800 is an abundant number, since it is smaller than the sum of its proper divisors (450973109809152).

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

125191045324800 is a wasteful number, since it uses less digits than its factorization.

125191045324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 125191045324800 in words is "one hundred twenty-five trillion, one hundred ninety-one billion, forty-five million, three hundred twenty-four thousand, eight hundred".