125925871276800 has 3456 divisors, whose sum is σ = 573848391352320. Its totient is φ = 26394904166400.

The previous prime is 125925871276769. The next prime is 125925871276811. The reversal of 125925871276800 is 8672178529521.

125925871276800 is a `hidden beast` number, since 1 + 25 + 9 + 2 + 587 + 1 + 27 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73085240739 + ... + 73085242461.

It is an arithmetic number, because the mean of its divisors is an integer number (166044094720).

Almost surely, 2^{125925871276800} is an apocalyptic number.

125925871276800 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 125925871276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286924195676160).

125925871276800 is an abundant number, since it is smaller than the sum of its proper divisors (447922520075520).

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

125925871276800 is a wasteful number, since it uses less digits than its factorization.

125925871276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 125925871276800 in words is "one hundred twenty-five trillion, nine hundred twenty-five billion, eight hundred seventy-one million, two hundred seventy-six thousand, eight hundred".