53271984782016 has 5376 divisors, whose sum is σ = 239651850977280. Its totient is φ = 11204367482880.

The previous prime is 53271984781997. The next prime is 53271984782053. The reversal of 53271984782016 is 61028748917235.

53271984782016 is a `hidden beast` number, since 5 + 3 + 2 + 71 + 98 + 478 + 2 + 0 + 1 + 6 = 666.

53271984782016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 641831141911 + ... + 641831141993.

It is an arithmetic number, because the mean of its divisors is an integer number (44578097280).

It is a 1-persistent number, because it is pandigital, but 2⋅53271984782016 = 106543969564032 is not.

Almost surely, 2^{53271984782016} is an apocalyptic number.

53271984782016 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 53271984782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119825925488640).

53271984782016 is an abundant number, since it is smaller than the sum of its proper divisors (186379866195264).

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

53271984782016 is a wasteful number, since it uses less digits than its factorization.

53271984782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 53271984782016 in words is "fifty-three trillion, two hundred seventy-one billion, nine hundred eighty-four million, seven hundred eighty-two thousand, sixteen".