125707226400 has 864 divisors, whose sum is σ = 536442540480. Its totient is φ = 28322058240.

The previous prime is 125707226387. The next prime is 125707226401. The reversal of 125707226400 is 4622707521.

It is a happy number.

125707226400 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 0 + 7 + 2 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (125707226401) 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, 77262387 + ... + 77264013.

It is an arithmetic number, because the mean of its divisors is an integer number (620882570).

Almost surely, 2^125707226400 is an apocalyptic number.

125707226400 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 125707226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268221270240).

125707226400 is an abundant number, since it is smaller than the sum of its proper divisors (410735314080).

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

125707226400 is a wasteful number, since it uses less digits than its factorization.

125707226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 125707226400 in words is "one hundred twenty-five billion, seven hundred seven million, two hundred twenty-six thousand, four hundred".