125709384288 has 96 divisors (see below), whose sum is σ = 353324371680. Its totient is φ = 38995066880.

The previous prime is 125709384257. The next prime is 125709384301. The reversal of 125709384288 is 882483907521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×125709384288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 287493 + ... + 577988.

It is an arithmetic number, because the mean of its divisors is an integer number (3680462205).

Almost surely, 2^125709384288 is an apocalyptic number.

It is an amenable number.

125709384288 is an abundant number, since it is smaller than the sum of its proper divisors (227614987392).

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

125709384288 is a wasteful number, since it uses less digits than its factorization.

125709384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865600 (or 865592 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 125709384288 in words is "one hundred twenty-five billion, seven hundred nine million, three hundred eighty-four thousand, two hundred eighty-eight".