17880045960960 has 720 divisors, whose sum is σ = 66660379011072. Its totient is φ = 4570994073600.

The previous prime is 17880045960943. The next prime is 17880045960961. The reversal of 17880045960960 is 6906954008871.

17880045960960 is a `hidden beast` number, since 17 + 8 + 8 + 0 + 0 + 4 + 5 + 9 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17880045960961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 343880565 + ... + 343932555.

Almost surely, 2^{17880045960960} is an apocalyptic number.

17880045960960 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 17880045960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33330189505536).

17880045960960 is an abundant number, since it is smaller than the sum of its proper divisors (48780333050112).

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

17880045960960 is a wasteful number, since it uses less digits than its factorization.

17880045960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52162 (or 52139 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 17880045960960 in words is "seventeen trillion, eight hundred eighty billion, forty-five million, nine hundred sixty thousand, nine hundred sixty".