17980264120 has 256 divisors, whose sum is σ = 52074086400. Its totient is φ = 5434490880.

The previous prime is 17980264097. The next prime is 17980264121. The reversal of 17980264120 is 2146208971.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17980264121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8913352 + ... + 8915368.

It is an arithmetic number, because the mean of its divisors is an integer number (203414400).

Almost surely, 2^17980264120 is an apocalyptic number.

17980264120 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 17980264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037043200).

17980264120 is an abundant number, since it is smaller than the sum of its proper divisors (34093822280).

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

17980264120 is a wasteful number, since it uses less digits than its factorization.

17980264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 17980264120 in words is "seventeen billion, nine hundred eighty million, two hundred sixty-four thousand, one hundred twenty".