125807099896800 has 720 divisors, whose sum is σ = 525920759667072. Its totient is φ = 28668998476800.

The previous prime is 125807099896799. The next prime is 125807099896861. The reversal of 125807099896800 is 8698990708521.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149722639 + ... + 150560561.

Almost surely, 2^{125807099896800} is an apocalyptic number.

125807099896800 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 125807099896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262960379833536).

125807099896800 is an abundant number, since it is smaller than the sum of its proper divisors (400113659770272).

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

125807099896800 is a wasteful number, since it uses less digits than its factorization.

125807099896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838293 (or 838271 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 125807099896800 in words is "one hundred twenty-five trillion, eight hundred seven billion, ninety-nine million, eight hundred ninety-six thousand, eight hundred".