17960555648 has 80 divisors (see below), whose sum is σ = 41742490710. Its totient is φ = 7697249280.

The previous prime is 17960555647. The next prime is 17960555699. The reversal of 17960555648 is 84655506971.

It can be written as a sum of positive squares in only one way, i.e., 11119280704 + 6841274944 = 105448^2 + 82712^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 17960555593 and 17960555602.

It is not an unprimeable number, because it can be changed into a prime (17960555647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 278108 + ... + 336548.

Almost surely, 2^17960555648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17960555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871245355).

17960555648 is an abundant number, since it is smaller than the sum of its proper divisors (23781935062).

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

17960555648 is an frugal number, since it uses more digits than its factorization.

17960555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58483 (or 58450 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 17960555648 in words is "seventeen billion, nine hundred sixty million, five hundred fifty-five thousand, six hundred forty-eight".