16557991560 has 576 divisors, whose sum is σ = 64131912000. Its totient is φ = 3664051200.

The previous prime is 16557991543. The next prime is 16557991577. The reversal of 16557991560 is 6519975561.

16557991560 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 79 + 9 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16557991543) and next prime (16557991577).

It is a junction number, because it is equal to n+sod(n) for n = 16557991497 and 16557991506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72305526 + ... + 72305754.

It is an arithmetic number, because the mean of its divisors is an integer number (111340125).

Almost surely, 2^16557991560 is an apocalyptic number.

16557991560 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 16557991560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32065956000).

16557991560 is an abundant number, since it is smaller than the sum of its proper divisors (47573920440).

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

16557991560 is a wasteful number, since it uses less digits than its factorization.

16557991560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 16557991560 in words is "sixteen billion, five hundred fifty-seven million, nine hundred ninety-one thousand, five hundred sixty".