18684552960 has 288 divisors, whose sum is σ = 67720826880. Its totient is φ = 4876111872.

The previous prime is 18684552893. The next prime is 18684552973. The reversal of 18684552960 is 6925548681.

18684552960 is a `hidden beast` number, since 1 + 8 + 6 + 84 + 552 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×18684552960² (a number of 21 digits) contains 22 as substring.

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 = 18684552897 and 18684552906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618569 + ... + 1630071.

It is an arithmetic number, because the mean of its divisors is an integer number (235141760).

Almost surely, 2^18684552960 is an apocalyptic number.

18684552960 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 18684552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860413440).

18684552960 is an abundant number, since it is smaller than the sum of its proper divisors (49036273920).

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

18684552960 is a wasteful number, since it uses less digits than its factorization.

18684552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 18684552960 in words is "eighteen billion, six hundred eighty-four million, five hundred fifty-two thousand, nine hundred sixty".