54319886208 has 384 divisors, whose sum is σ = 191035653120. Its totient is φ = 14461452288.

The previous prime is 54319886207. The next prime is 54319886213. The reversal of 54319886208 is 80268891345.

54319886208 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 9 + 8 + 8 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54319886207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14118141 + ... + 14121987.

It is an arithmetic number, because the mean of its divisors is an integer number (497488680).

Almost surely, 2^54319886208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54319886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95517826560).

54319886208 is an abundant number, since it is smaller than the sum of its proper divisors (136715766912).

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

54319886208 is a wasteful number, since it uses less digits than its factorization.

54319886208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 54319886208 in words is "fifty-four billion, three hundred nineteen million, eight hundred eighty-six thousand, two hundred eight".