54216311362752 has 448 divisors, whose sum is σ = 181692198789120. Its totient is φ = 13858261401600.

The previous prime is 54216311362709. The next prime is 54216311362757. The reversal of 54216311362752 is 25726311361245.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (54216311362757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021207824 + ... + 1021260912.

Almost surely, 2^{54216311362752} 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 54216311362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90846099394560).

54216311362752 is an abundant number, since it is smaller than the sum of its proper divisors (127475887426368).

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

54216311362752 is a wasteful number, since it uses less digits than its factorization.

54216311362752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54220 (or 54210 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 54216311362752 in words is "fifty-four trillion, two hundred sixteen billion, three hundred eleven million, three hundred sixty-two thousand, seven hundred fifty-two".