54384273844992 has 864 divisors, whose sum is σ = 206178975941120. Its totient is φ = 13385330196480.

The previous prime is 54384273844987. The next prime is 54384273845021. The reversal of 54384273844992 is 29944837248345.

54384273844992 is a `hidden beast` number, since 5 + 4 + 3 + 84 + 27 + 38 + 4 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54384273844992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266800392 + ... + 267004152.

Almost surely, 2^{54384273844992} is an apocalyptic number.

54384273844992 is a gapful number since it is divisible by the number (52) 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 54384273844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103089487970560).

54384273844992 is an abundant number, since it is smaller than the sum of its proper divisors (151794702096128).

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

54384273844992 is a wasteful number, since it uses less digits than its factorization.

54384273844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203889 (or 203872 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 54384273844992 in words is "fifty-four trillion, three hundred eighty-four billion, two hundred seventy-three million, eight hundred forty-four thousand, nine hundred ninety-two".