125256268800 has 1584 divisors, whose sum is σ = 532185937920. Its totient is φ = 27869184000.

The previous prime is 125256268799. The next prime is 125256268897. The reversal of 125256268800 is 8862652521.

It is a happy number.

125256268800 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 562 + 6 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1764172765 + ... + 1764172835.

Almost surely, 2^125256268800 is an apocalyptic number.

125256268800 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 125256268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266092968960).

125256268800 is an abundant number, since it is smaller than the sum of its proper divisors (406929669120).

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

125256268800 is a wasteful number, since it uses less digits than its factorization.

125256268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 125256268800 in words is "one hundred twenty-five billion, two hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".