125679209040 has 640 divisors, whose sum is σ = 541765324800. Its totient is φ = 26015938560.

The previous prime is 125679209027. The next prime is 125679209069. The reversal of 125679209040 is 40902976521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 48730471 + ... + 48733049.

It is an arithmetic number, because the mean of its divisors is an integer number (846508320).

Almost surely, 2^125679209040 is an apocalyptic number.

125679209040 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 125679209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270882662400).

125679209040 is an abundant number, since it is smaller than the sum of its proper divisors (416086115760).

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

125679209040 is a wasteful number, since it uses less digits than its factorization.

125679209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 125679209040 in words is "one hundred twenty-five billion, six hundred seventy-nine million, two hundred nine thousand, forty".