125845807680 has 112 divisors (see below), whose sum is σ = 443956074240. Its totient is φ = 33558879744.

The previous prime is 125845807651. The next prime is 125845807687. The reversal of 125845807680 is 86708548521.

125845807680 is a `hidden beast` number, since 1 + 2 + 58 + 4 + 580 + 7 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×125845807680³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (125845807687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7274104 + ... + 7291383.

It is an arithmetic number, because the mean of its divisors is an integer number (3963893520).

Almost surely, 2^125845807680 is an apocalyptic number.

125845807680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125845807680 is an abundant number, since it is smaller than the sum of its proper divisors (318110266560).

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

125845807680 is a wasteful number, since it uses less digits than its factorization.

125845807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14565513 (or 14565497 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 125845807680 in words is "one hundred twenty-five billion, eight hundred forty-five million, eight hundred seven thousand, six hundred eighty".