125806766400 has 252 divisors, whose sum is σ = 511025497632. Its totient is φ = 28755809280.

The previous prime is 125806766341. The next prime is 125806766401. The reversal of 125806766400 is 4667608521.

125806766400 is a `hidden beast` number, since 1 + 2 + 580 + 6 + 7 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125806766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523242 + ... + 724841.

Almost surely, 2^125806766400 is an apocalyptic number.

125806766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125806766400 is an abundant number, since it is smaller than the sum of its proper divisors (385218731232).

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

125806766400 is a wasteful number, since it uses less digits than its factorization.

125806766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248118 (or 1248100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 125806766400 in words is "one hundred twenty-five billion, eight hundred six million, seven hundred sixty-six thousand, four hundred".