16404586560 has 560 divisors, whose sum is σ = 62933397120. Its totient is φ = 4041031680.

The previous prime is 16404586507. The next prime is 16404586613. The reversal of 16404586560 is 6568540461.

16404586560 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 4 + 5 + 86 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16404586507) and next prime (16404586613).

It is a super-2 number, since 2×16404586560² (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 79 ways as a sum of consecutive naturals, for example, 25997445 + ... + 25998075.

Almost surely, 2^16404586560 is an apocalyptic number.

16404586560 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 16404586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466698560).

16404586560 is an abundant number, since it is smaller than the sum of its proper divisors (46528810560).

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

16404586560 is a wasteful number, since it uses less digits than its factorization.

16404586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 16404586560 in words is "sixteen billion, four hundred four million, five hundred eighty-six thousand, five hundred sixty".