10590911079424 has 99 divisors (see below), whose sum is σ = 22928260720953. Its totient is φ = 4887487967232.

The previous prime is 10590911079323. The next prime is 10590911079433. The reversal of 10590911079424 is 42497011909501.

It is a happy number.

The square root of 10590911079424 is 3254368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1566702822400 + 9024208257024 = 1251680^2 + 3004032^2 .

It is a super-2 number, since 2×10590911079424² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1353813177 + ... + 1353820999.

Almost surely, 2^{10590911079424} is an apocalyptic number.

10590911079424 is the 3254368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10590911079424

10590911079424 is an abundant number, since it is smaller than the sum of its proper divisors (12337349641529).

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

10590911079424 is an frugal number, since it uses more digits than its factorization.

10590911079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15692 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 10590911079424 in words is "ten trillion, five hundred ninety billion, nine hundred eleven million, seventy-nine thousand, four hundred twenty-four".