125827530400 has 864 divisors, whose sum is σ = 393539186880. Its totient is φ = 38817792000.

The previous prime is 125827530397. The next prime is 125827530403. The reversal of 125827530400 is 4035728521.

It is an interprime number because it is at equal distance from previous prime (125827530397) and next prime (125827530403).

It is a self number, because there is not a number n which added to its sum of digits gives 125827530400.

It is not an unprimeable number, because it can be changed into a prime (125827530403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1723664764 + ... + 1723664836.

It is an arithmetic number, because the mean of its divisors is an integer number (455485170).

Almost surely, 2^125827530400 is an apocalyptic number.

125827530400 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 125827530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196769593440).

125827530400 is an abundant number, since it is smaller than the sum of its proper divisors (267711656480).

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

125827530400 is a wasteful number, since it uses less digits than its factorization.

125827530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 125827530400 in words is "one hundred twenty-five billion, eight hundred twenty-seven million, five hundred thirty thousand, four hundred".