10579144704 has 104 divisors (see below), whose sum is σ = 28433909760. Its totient is φ = 3498098688.

The previous prime is 10579144687. The next prime is 10579144721. The reversal of 10579144704 is 40744197501.

It is an interprime number because it is at equal distance from previous prime (10579144687) and next prime (10579144721).

It is a super-2 number, since 2×10579144704² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1557187 + ... + 1563965.

Almost surely, 2^10579144704 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 10579144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14216954880).

10579144704 is an abundant number, since it is smaller than the sum of its proper divisors (17854765056).

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

10579144704 is an equidigital number, since it uses as much as digits as its factorization.

10579144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10579144704 in words is "ten billion, five hundred seventy-nine million, one hundred forty-four thousand, seven hundred four".