10582568640 has 672 divisors, whose sum is σ = 44962145280. Its totient is φ = 2231083008.

The previous prime is 10582568627. The next prime is 10582568693. The reversal of 10582568640 is 4686528501.

10582568640 is a `hidden beast` number, since 1 + 0 + 5 + 82 + 568 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10582568640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13446327 + ... + 13447113.

Almost surely, 2^10582568640 is an apocalyptic number.

10582568640 is a gapful number since it is divisible by the number (10) 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 10582568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481072640).

10582568640 is an abundant number, since it is smaller than the sum of its proper divisors (34379576640).

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

10582568640 is a wasteful number, since it uses less digits than its factorization.

10582568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10582568640 in words is "ten billion, five hundred eighty-two million, five hundred sixty-eight thousand, six hundred forty".