125748654984000 has 896 divisors, whose sum is σ = 467630047272960. Its totient is φ = 33079608576000.

The previous prime is 125748654983951. The next prime is 125748654984047. The reversal of 125748654984000 is 489456847521.

It is a happy number.

125748654984000 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 8 + 6 + 549 + 84 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5851213255 + ... + 5851234745.

Almost surely, 2^{125748654984000} is an apocalyptic number.

125748654984000 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 125748654984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233815023636480).

125748654984000 is an abundant number, since it is smaller than the sum of its proper divisors (341881392288960).

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

125748654984000 is a wasteful number, since it uses less digits than its factorization.

125748654984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21893 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 125748654984000 in words is "one hundred twenty-five trillion, seven hundred forty-eight billion, six hundred fifty-four million, nine hundred eighty-four thousand".