54219783618000 has 7680 divisors, whose sum is σ = 287092939161600. Its totient is φ = 9461836800000.

The previous prime is 54219783617921. The next prime is 54219783618023. The reversal of 54219783618000 is 81638791245.

54219783618000 is a `hidden beast` number, since 5 + 4 + 2 + 19 + 7 + 8 + 3 + 618 + 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 polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 413891477935 + ... + 413891478065.

It is an arithmetic number, because the mean of its divisors is an integer number (37381893120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅54219783618000 = 108439567236000, but 3⋅54219783618000 = 162659350854000 is not.

Almost surely, 2^{54219783618000} is an apocalyptic number.

54219783618000 is a gapful number since it is divisible by the number (50) 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 54219783618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143546469580800).

54219783618000 is an abundant number, since it is smaller than the sum of its proper divisors (232873155543600).

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

54219783618000 is a wasteful number, since it uses less digits than its factorization.

54219783618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 54219783618000 in words is "fifty-four trillion, two hundred nineteen billion, seven hundred eighty-three million, six hundred eighteen thousand".