125275399048800 has 6912 divisors, whose sum is σ = 668960063815680. Its totient is φ = 22009688064000.

The previous prime is 125275399048799. The next prime is 125275399048817. The reversal of 125275399048800 is 8840993572521.

125275399048800 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 539 + 90 + 4 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 114616101054 + ... + 114616102146.

It is an arithmetic number, because the mean of its divisors is an integer number (96782416640).

Almost surely, 2^{125275399048800} is an apocalyptic number.

125275399048800 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 125275399048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334480031907840).

125275399048800 is an abundant number, since it is smaller than the sum of its proper divisors (543684664766880).

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

125275399048800 is a wasteful number, since it uses less digits than its factorization.

125275399048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 125275399048800 in words is "one hundred twenty-five trillion, two hundred seventy-five billion, three hundred ninety-nine million, forty-eight thousand, eight hundred".