16551682560 has 840 divisors, whose sum is σ = 69597443916. Its totient is φ = 3762339840.

The previous prime is 16551682549. The next prime is 16551682607. The reversal of 16551682560 is 6528615561.

16551682560 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 1 + 6 + 82 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 2642782464 = 117936^2 + 51408^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 83 ways as a sum of consecutive naturals, for example, 91445670 + ... + 91445850.

Almost surely, 2^16551682560 is an apocalyptic number.

16551682560 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 16551682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34798721958).

16551682560 is an abundant number, since it is smaller than the sum of its proper divisors (53045761356).

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

16551682560 is an frugal number, since it uses more digits than its factorization.

16551682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 16551682560 in words is "sixteen billion, five hundred fifty-one million, six hundred eighty-two thousand, five hundred sixty".