125108582400 has 720 divisors, whose sum is σ = 469657908720. Its totient is φ = 32912179200.

The previous prime is 125108582371. The next prime is 125108582411. The reversal of 125108582400 is 4285801521.

125108582400 is a `hidden beast` number, since 1 + 25 + 10 + 8 + 582 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 402278245 + ... + 402278555.

It is an arithmetic number, because the mean of its divisors is an integer number (652302651).

Almost surely, 2^125108582400 is an apocalyptic number.

125108582400 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 125108582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234828954360).

125108582400 is an abundant number, since it is smaller than the sum of its proper divisors (344549326320).

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

125108582400 is an equidigital number, since it uses as much as digits as its factorization.

125108582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 125108582400 in words is "one hundred twenty-five billion, one hundred eight million, five hundred eighty-two thousand, four hundred".