54020801366784 has 2160 divisors, whose sum is σ = 208281631219200. Its totient is φ = 13819157839872.

The previous prime is 54020801366759. The next prime is 54020801366797. The reversal of 54020801366784 is 48766310802045.

It is a happy number.

54020801366784 is a `hidden beast` number, since 5 + 4 + 0 + 208 + 0 + 1 + 366 + 78 + 4 = 666.

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 54020801366784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39517776469 + ... + 39517777835.

It is an arithmetic number, because the mean of its divisors is an integer number (96426681120).

Almost surely, 2^{54020801366784} is an apocalyptic number.

54020801366784 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 54020801366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104140815609600).

54020801366784 is an abundant number, since it is smaller than the sum of its proper divisors (154260829852416).

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

54020801366784 is a wasteful number, since it uses less digits than its factorization.

54020801366784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 54020801366784 in words is "fifty-four trillion, twenty billion, eight hundred one million, three hundred sixty-six thousand, seven hundred eighty-four".