54721142784 has 1176 divisors, whose sum is σ = 220466293128. Its totient is φ = 13377208320.

The previous prime is 54721142761. The next prime is 54721142807. The reversal of 54721142784 is 48724112745.

54721142784 is a `hidden beast` number, since 5 + 4 + 7 + 211 + 427 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54721142761) and next prime (54721142807).

It is a tau number, because it is divible by the number of its divisors (1176).

Its product of digits (501760) is a multiple of the sum of its prime divisors (40).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3218890744 + ... + 3218890760.

Almost surely, 2^54721142784 is an apocalyptic number.

54721142784 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 54721142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110233146564).

54721142784 is an abundant number, since it is smaller than the sum of its proper divisors (165745150344).

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

54721142784 is an equidigital number, since it uses as much as digits as its factorization.

54721142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 54721142784 in words is "fifty-four billion, seven hundred twenty-one million, one hundred forty-two thousand, seven hundred eighty-four".