10583610640 has 40 divisors (see below), whose sum is σ = 25179156288. Its totient is φ = 4134990720.

The previous prime is 10583610617. The next prime is 10583610689. The reversal of 10583610640 is 4601638501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10583610640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10583610596 and 10583610605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1534876 + ... + 1541755.

Almost surely, 2^10583610640 is an apocalyptic number.

10583610640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10583610640 is an abundant number, since it is smaller than the sum of its proper divisors (14595545648).

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

10583610640 is a wasteful number, since it uses less digits than its factorization.

10583610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076687 (or 3076681 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 10583610640 in words is "ten billion, five hundred eighty-three million, six hundred ten thousand, six hundred forty".