17991106560 has 768 divisors, whose sum is σ = 75307579200. Its totient is φ = 4062707712.

The previous prime is 17991106543. The next prime is 17991106583. The reversal of 17991106560 is 6560119971.

17991106560 is a `hidden beast` number, since 1 + 79 + 9 + 1 + 10 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 216760279 + ... + 216760361.

Almost surely, 2^17991106560 is an apocalyptic number.

17991106560 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 17991106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37653789600).

17991106560 is an abundant number, since it is smaller than the sum of its proper divisors (57316472640).

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

17991106560 is an frugal number, since it uses more digits than its factorization.

17991106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 17991106560 in words is "seventeen billion, nine hundred ninety-one million, one hundred six thousand, five hundred sixty".