18256177797480 has 1280 divisors, whose sum is σ = 76475223982080. Its totient is φ = 3815420184576.

The previous prime is 18256177797467. The next prime is 18256177797511. The reversal of 18256177797480 is 8479777165281.

18256177797480 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 6 + 1 + 77 + 79 + 7 + 480 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18256177797399 and 18256177797408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1054225782 + ... + 1054243098.

It is an arithmetic number, because the mean of its divisors is an integer number (59746268736).

Almost surely, 2^{18256177797480} is an apocalyptic number.

18256177797480 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 18256177797480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38237611991040).

18256177797480 is an abundant number, since it is smaller than the sum of its proper divisors (58219046184600).

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

18256177797480 is a wasteful number, since it uses less digits than its factorization.

18256177797480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17460 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 18256177797480 in words is "eighteen trillion, two hundred fifty-six billion, one hundred seventy-seven million, seven hundred ninety-seven thousand, four hundred eighty".