125175398400 has 612 divisors, whose sum is σ = 483634688628. Its totient is φ = 30765219840.

The previous prime is 125175398389. The next prime is 125175398417. The reversal of 125175398400 is 4893571521.

125175398400 is a `hidden beast` number, since 1 + 2 + 517 + 5 + 3 + 98 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26509049856 + 98666348544 = 162816^2 + 314112^2 .

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 35 ways as a sum of consecutive naturals, for example, 191692474 + ... + 191693126.

Almost surely, 2^125175398400 is an apocalyptic number.

125175398400 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 125175398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241817344314).

125175398400 is an abundant number, since it is smaller than the sum of its proper divisors (358459290228).

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

125175398400 is an equidigital number, since it uses as much as digits as its factorization.

125175398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125175398400 in words is "one hundred twenty-five billion, one hundred seventy-five million, three hundred ninety-eight thousand, four hundred".