10805574960 has 200 divisors, whose sum is σ = 37918468896. Its totient is φ = 2851614720.

The previous prime is 10805574959. The next prime is 10805574977. The reversal of 10805574960 is 6947550801.

10805574960 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 557 + 4 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 619965 + ... + 637155.

Almost surely, 2^10805574960 is an apocalyptic number.

10805574960 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 10805574960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959234448).

10805574960 is an abundant number, since it is smaller than the sum of its proper divisors (27112893936).

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

10805574960 is a wasteful number, since it uses less digits than its factorization.

10805574960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17313 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10805574960 in words is "ten billion, eight hundred five million, five hundred seventy-four thousand, nine hundred sixty".