125006824800 has 576 divisors, whose sum is σ = 531161003520. Its totient is φ = 27972864000.

The previous prime is 125006824781. The next prime is 125006824847. The reversal of 125006824800 is 8428600521.

125006824800 is a `hidden beast` number, since 12 + 500 + 68 + 2 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3068565 + ... + 3109035.

It is an arithmetic number, because the mean of its divisors is an integer number (922154520).

Almost surely, 2^125006824800 is an apocalyptic number.

125006824800 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 125006824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265580501760).

125006824800 is an abundant number, since it is smaller than the sum of its proper divisors (406154178720).

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

125006824800 is a wasteful number, since it uses less digits than its factorization.

125006824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40524 (or 40505 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 125006824800 in words is "one hundred twenty-five billion, six million, eight hundred twenty-four thousand, eight hundred".