18509863680 has 972 divisors, whose sum is σ = 82188471456. Its totient is φ = 3832012800.

The previous prime is 18509863657. The next prime is 18509863699. The reversal of 18509863680 is 8636890581.

18509863680 is a `hidden beast` number, since 18 + 509 + 8 + 63 + 68 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 68301945 + ... + 68302215.

Almost surely, 2^18509863680 is an apocalyptic number.

18509863680 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 18509863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094235728).

18509863680 is an abundant number, since it is smaller than the sum of its proper divisors (63678607776).

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

18509863680 is a wasteful number, since it uses less digits than its factorization.

18509863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 18509863680 in words is "eighteen billion, five hundred nine million, eight hundred sixty-three thousand, six hundred eighty".