125091301680 has 480 divisors, whose sum is σ = 458239242240. Its totient is φ = 30464501760.

The previous prime is 125091301663. The next prime is 125091301703. The reversal of 125091301680 is 86103190521.

125091301680 is a `hidden beast` number, since 1 + 2 + 509 + 130 + 16 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168359389 + ... + 168360131.

It is an arithmetic number, because the mean of its divisors is an integer number (954665088).

Almost surely, 2^125091301680 is an apocalyptic number.

125091301680 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 125091301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229119621120).

125091301680 is an abundant number, since it is smaller than the sum of its proper divisors (333147940560).

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

125091301680 is a wasteful number, since it uses less digits than its factorization.

125091301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 125091301680 in words is "one hundred twenty-five billion, ninety-one million, three hundred one thousand, six hundred eighty".