10582997832 has 144 divisors (see below), whose sum is σ = 31861147500. Its totient is φ = 3170703360.

The previous prime is 10582997809. The next prime is 10582997851. The reversal of 10582997832 is 23879928501.

It can be written as a sum of positive squares in 2 ways, for example, as 9020060676 + 1562937156 = 94974^2 + 39534^2 .

It is a super-2 number, since 2×10582997832² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 768544 + ... + 782192.

Almost surely, 2^10582997832 is an apocalyptic number.

10582997832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10582997832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930573750).

10582997832 is an abundant number, since it is smaller than the sum of its proper divisors (21278149668).

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

10582997832 is a wasteful number, since it uses less digits than its factorization.

10582997832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10582997832 in words is "ten billion, five hundred eighty-two million, nine hundred ninety-seven thousand, eight hundred thirty-two".