125726408480 has 96 divisors (see below), whose sum is σ = 305367148800. Its totient is φ = 48881525760.

The previous prime is 125726408473. The next prime is 125726408497. The reversal of 125726408480 is 84804627521.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093221 + ... + 6113819.

It is an arithmetic number, because the mean of its divisors is an integer number (3180907800).

Almost surely, 2^125726408480 is an apocalyptic number.

125726408480 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 125726408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152683574400).

125726408480 is an abundant number, since it is smaller than the sum of its proper divisors (179640740320).

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

125726408480 is a wasteful number, since it uses less digits than its factorization.

125726408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21682 (or 21674 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 125726408480 in words is "one hundred twenty-five billion, seven hundred twenty-six million, four hundred eight thousand, four hundred eighty".