125877628800 has 2880 divisors, whose sum is σ = 635930436240. Its totient is φ = 24153292800.

The previous prime is 125877628769. The next prime is 125877628813. The reversal of 125877628800 is 8826778521.

125877628800 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 7 + 7 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2375049574 + ... + 2375049626.

Almost surely, 2^125877628800 is an apocalyptic number.

125877628800 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 125877628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317965218120).

125877628800 is an abundant number, since it is smaller than the sum of its proper divisors (510052807440).

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

125877628800 is a wasteful number, since it uses less digits than its factorization.

125877628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 125877628800 in words is "one hundred twenty-five billion, eight hundred seventy-seven million, six hundred twenty-eight thousand, eight hundred".