54218784564 has 96 divisors (see below), whose sum is σ = 161021952000. Its totient is φ = 15455046240.

The previous prime is 54218784559. The next prime is 54218784577. The reversal of 54218784564 is 46548781245.

54218784564 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 8 + 78 + 4 + 564 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54218784564.

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, 242637 + ... + 409035.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312000).

Almost surely, 2^54218784564 is an apocalyptic number.

54218784564 is a gapful number since it is divisible by the number (54) 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 54218784564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80510976000).

54218784564 is an abundant number, since it is smaller than the sum of its proper divisors (106803167436).

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

54218784564 is a wasteful number, since it uses less digits than its factorization.

54218784564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166850 (or 166842 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 54218784564 in words is "fifty-four billion, two hundred eighteen million, seven hundred eighty-four thousand, five hundred sixty-four".