54218857351680 has 560 divisors, whose sum is σ = 222752180876544. Its totient is φ = 12392878694400.

The previous prime is 54218857351669. The next prime is 54218857351723. The reversal of 54218857351680 is 8615375881245.

It is a happy number.

54218857351680 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 8 + 8 + 573 + 51 + 6 + 8 + 0 = 666.

54218857351680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10988505 + ... + 15138855.

Almost surely, 2^{54218857351680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54218857351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111376090438272).

54218857351680 is an abundant number, since it is smaller than the sum of its proper divisors (168533323524864).

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

54218857351680 is an frugal number, since it uses more digits than its factorization.

54218857351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150399 (or 4150368 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 54218857351680 in words is "fifty-four trillion, two hundred eighteen billion, eight hundred fifty-seven million, three hundred fifty-one thousand, six hundred eighty".