18487675852800 has 4608 divisors, whose sum is σ = 86574458880000. Its totient is φ = 3433483468800.

The previous prime is 18487675852783. The next prime is 18487675852801. The reversal of 18487675852800 is 825857678481.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18487675852801) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 253255833564 + ... + 253255833636.

It is an arithmetic number, because the mean of its divisors is an integer number (18787860000).

Almost surely, 2^{18487675852800} is an apocalyptic number.

18487675852800 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 18487675852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43287229440000).

18487675852800 is an abundant number, since it is smaller than the sum of its proper divisors (68086783027200).

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

18487675852800 is a wasteful number, since it uses less digits than its factorization.

18487675852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 69.

The spelling of 18487675852800 in words is "eighteen trillion, four hundred eighty-seven billion, six hundred seventy-five million, eight hundred fifty-two thousand, eight hundred".