54117682416 has 160 divisors (see below), whose sum is σ = 179721433600. Its totient is φ = 15462124992.

The previous prime is 54117682373. The next prime is 54117682427. The reversal of 54117682416 is 61428671145.

54117682416 is a `hidden beast` number, since 541 + 1 + 7 + 68 + 2 + 41 + 6 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 134475 + ... + 355413.

It is an arithmetic number, because the mean of its divisors is an integer number (1123258960).

Almost surely, 2^54117682416 is an apocalyptic number.

54117682416 is a gapful number since it is divisible by the number (56) 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 54117682416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89860716800).

54117682416 is an abundant number, since it is smaller than the sum of its proper divisors (125603751184).

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

54117682416 is an equidigital number, since it uses as much as digits as its factorization.

54117682416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220975 (or 220951 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 54117682416 in words is "fifty-four billion, one hundred seventeen million, six hundred eighty-two thousand, four hundred sixteen".