10582468120 has 32 divisors (see below), whose sum is σ = 27212061600. Its totient is φ = 3628274688.

The previous prime is 10582468103. The next prime is 10582468129. The reversal of 10582468120 is 2186428501.

It is a super-2 number, since 2×10582468120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10582468120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582468129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18896985 + ... + 18897544.

It is an arithmetic number, because the mean of its divisors is an integer number (850376925).

Almost surely, 2^10582468120 is an apocalyptic number.

10582468120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10582468120 is an abundant number, since it is smaller than the sum of its proper divisors (16629593480).

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

10582468120 is a wasteful number, since it uses less digits than its factorization.

10582468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37794547 (or 37794543 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 10582468120 in words is "ten billion, five hundred eighty-two million, four hundred sixty-eight thousand, one hundred twenty".