17997598080 has 1728 divisors, whose sum is σ = 86852787840. Its totient is φ = 3406233600.

The previous prime is 17997598079. The next prime is 17997598103. The reversal of 17997598080 is 8089579971.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 17997597999 and 17997598017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 580567665 + ... + 580567695.

It is an arithmetic number, because the mean of its divisors is an integer number (50262030).

Almost surely, 2^17997598080 is an apocalyptic number.

17997598080 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 17997598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426393920).

17997598080 is an abundant number, since it is smaller than the sum of its proper divisors (68855189760).

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

17997598080 is a wasteful number, since it uses less digits than its factorization.

17997598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 17997598080 in words is "seventeen billion, nine hundred ninety-seven million, five hundred ninety-eight thousand, eighty".