18084702504960 has 3840 divisors, whose sum is σ = 84388585881600. Its totient is φ = 3602291097600.

The previous prime is 18084702504931. The next prime is 18084702505007. The reversal of 18084702504960 is 6940520748081.

It is a happy number.

18084702504960 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 4 + 70 + 2 + 504 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 18084702504897 and 18084702504906.

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, 138051164095 + ... + 138051164225.

It is an arithmetic number, because the mean of its divisors is an integer number (21976194240).

Almost surely, 2^{18084702504960} is an apocalyptic number.

18084702504960 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 18084702504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194292940800).

18084702504960 is an abundant number, since it is smaller than the sum of its proper divisors (66303883376640).

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

18084702504960 is a wasteful number, since it uses less digits than its factorization.

18084702504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18084702504960 in words is "eighteen trillion, eighty-four billion, seven hundred two million, five hundred four thousand, nine hundred sixty".