125676230400 has 1080 divisors, whose sum is σ = 540986624640. Its totient is φ = 28191006720.

The previous prime is 125676230389. The next prime is 125676230401. The reversal of 125676230400 is 4032676521.

125676230400 is a `hidden beast` number, since 1 + 2 + 567 + 62 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125676230401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214098907 + ... + 214099493.

Almost surely, 2^125676230400 is an apocalyptic number.

125676230400 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 125676230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270493312320).

125676230400 is an abundant number, since it is smaller than the sum of its proper divisors (415310394240).

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

125676230400 is an equidigital number, since it uses as much as digits as its factorization.

125676230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 125676230400 in words is "one hundred twenty-five billion, six hundred seventy-six million, two hundred thirty thousand, four hundred".