18782002140160 has 704 divisors, whose sum is σ = 52952029194240. Its totient is φ = 6260533493760.

The previous prime is 18782002140157. The next prime is 18782002140179. The reversal of 18782002140160 is 6104120028781.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69306280825 + ... + 69306281095.

It is an arithmetic number, because the mean of its divisors is an integer number (75215950560).

Almost surely, 2^{18782002140160} is an apocalyptic number.

18782002140160 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 18782002140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26476014597120).

18782002140160 is an abundant number, since it is smaller than the sum of its proper divisors (34170027054080).

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

18782002140160 is a wasteful number, since it uses less digits than its factorization.

18782002140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 18782002140160 in words is "eighteen trillion, seven hundred eighty-two billion, two million, one hundred forty thousand, one hundred sixty".