18252135538560 has 3456 divisors, whose sum is σ = 87001351819200. Its totient is φ = 3439322726400.

The previous prime is 18252135538531. The next prime is 18252135538597. The reversal of 18252135538560 is 6583553125281.

18252135538560 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 2 + 1 + 3 + 553 + 85 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18252135538497 and 18252135538506.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 79703648526 + ... + 79703648754.

Almost surely, 2^{18252135538560} is an apocalyptic number.

18252135538560 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 18252135538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43500675909600).

18252135538560 is an abundant number, since it is smaller than the sum of its proper divisors (68749216280640).

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

18252135538560 is a wasteful number, since it uses less digits than its factorization.

18252135538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 18252135538560 in words is "eighteen trillion, two hundred fifty-two billion, one hundred thirty-five million, five hundred thirty-eight thousand, five hundred sixty".