125624765267584 has 128 divisors (see below), whose sum is σ = 273590404274880. Its totient is φ = 56982912860160.

The previous prime is 125624765267567. The next prime is 125624765267591. The reversal of 125624765267584 is 485762567426521.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1604220559 + ... + 1604298865.

Almost surely, 2^{125624765267584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125624765267584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136795202137440).

125624765267584 is an abundant number, since it is smaller than the sum of its proper divisors (147965639007296).

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

125624765267584 is a wasteful number, since it uses less digits than its factorization.

125624765267584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80698 (or 80686 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 70.

The spelling of 125624765267584 in words is "one hundred twenty-five trillion, six hundred twenty-four billion, seven hundred sixty-five million, two hundred sixty-seven thousand, five hundred eighty-four".