125759035080 has 960 divisors, whose sum is σ = 513269222400. Its totient is φ = 27512110080.

The previous prime is 125759035069. The next prime is 125759035109. The reversal of 125759035080 is 80530957521.

125759035080 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 590 + 3 + 50 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 464055345 + ... + 464055615.

It is an arithmetic number, because the mean of its divisors is an integer number (534655440).

Almost surely, 2^125759035080 is an apocalyptic number.

125759035080 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 125759035080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256634611200).

125759035080 is an abundant number, since it is smaller than the sum of its proper divisors (387510187320).

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

125759035080 is a wasteful number, since it uses less digits than its factorization.

125759035080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 125759035080 in words is "one hundred twenty-five billion, seven hundred fifty-nine million, thirty-five thousand, eighty".