10582864896 has 176 divisors, whose sum is σ = 29316446208. Its totient is φ = 3391488000.

The previous prime is 10582864861. The next prime is 10582864907. The reversal of 10582864896 is 69846828501.

It is a happy number.

It is a super-2 number, since 2×10582864896² (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 15 ways as a sum of consecutive naturals, for example, 9193921 + ... + 9195071.

Almost surely, 2^10582864896 is an apocalyptic number.

10582864896 is a gapful number since it is divisible by the number (16) 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 10582864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14658223104).

10582864896 is an abundant number, since it is smaller than the sum of its proper divisors (18733581312).

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

10582864896 is a wasteful number, since it uses less digits than its factorization.

10582864896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 10582864896 in words is "ten billion, five hundred eighty-two million, eight hundred sixty-four thousand, eight hundred ninety-six".