18852756480000 has 980 divisors, whose sum is σ = 70652570805828. Its totient is φ = 5026406400000.

The previous prime is 18852756479983. The next prime is 18852756480011. The reversal of 18852756480000 is 8465725881.

18852756480000 is a `hidden beast` number, since 18 + 85 + 2 + 75 + 6 + 480 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3732477475 + ... + 3732482525.

Almost surely, 2^{18852756480000} is an apocalyptic number.

18852756480000 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 18852756480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35326285402914).

18852756480000 is an abundant number, since it is smaller than the sum of its proper divisors (51799814325828).

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

18852756480000 is an frugal number, since it uses more digits than its factorization.

18852756480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 18852756480000 in words is "eighteen trillion, eight hundred fifty-two billion, seven hundred fifty-six million, four hundred eighty thousand".