10580038560 has 480 divisors, whose sum is σ = 45960469632. Its totient is φ = 2232023040.

The previous prime is 10580038507. The next prime is 10580038591. The reversal of 10580038560 is 6583008501.

10580038560 is a `hidden beast` number, since 10 + 5 + 80 + 0 + 3 + 8 + 560 = 666.

10580038560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10580038560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1174875 + ... + 1183845.

Almost surely, 2^10580038560 is an apocalyptic number.

10580038560 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 10580038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980234816).

10580038560 is an abundant number, since it is smaller than the sum of its proper divisors (35380431072).

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

10580038560 is a wasteful number, since it uses less digits than its factorization.

10580038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10580038560 in words is "ten billion, five hundred eighty million, thirty-eight thousand, five hundred sixty".