54657282816 has 288 divisors, whose sum is σ = 166123238400. Its totient is φ = 17719603200.

The previous prime is 54657282803. The next prime is 54657282833. The reversal of 54657282816 is 61828275645.

54657282816 is a `hidden beast` number, since 5 + 46 + 572 + 8 + 28 + 1 + 6 = 666.

54657282816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41187945 + ... + 41189271.

It is an arithmetic number, because the mean of its divisors is an integer number (576816800).

Almost surely, 2^54657282816 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 54657282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83061619200).

54657282816 is an abundant number, since it is smaller than the sum of its proper divisors (111465955584).

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

54657282816 is a wasteful number, since it uses less digits than its factorization.

54657282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1492 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 54657282816 in words is "fifty-four billion, six hundred fifty-seven million, two hundred eighty-two thousand, eight hundred sixteen".