54272613384 has 576 divisors, whose sum is σ = 182171808000. Its totient is φ = 14969577600.

The previous prime is 54272613371. The next prime is 54272613427. The reversal of 54272613384 is 48331627245.

54272613384 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 261 + 3 + 384 = 666.

Its product of digits (967680) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390450387 + ... + 390450525.

It is an arithmetic number, because the mean of its divisors is an integer number (316270500).

Almost surely, 2^54272613384 is an apocalyptic number.

54272613384 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 54272613384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91085904000).

54272613384 is an abundant number, since it is smaller than the sum of its proper divisors (127899194616).

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

54272613384 is a wasteful number, since it uses less digits than its factorization.

54272613384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 205 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 54272613384 in words is "fifty-four billion, two hundred seventy-two million, six hundred thirteen thousand, three hundred eighty-four".