53821680024 has 128 divisors (see below), whose sum is σ = 156577559040. Its totient is φ = 15099374592.

The previous prime is 53821680013. The next prime is 53821680047. The reversal of 53821680024 is 42008612835.

It is a Cunningham number, because it is equal to 231995²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774262 + ... + 2793594.

It is an arithmetic number, because the mean of its divisors is an integer number (1223262180).

Almost surely, 2^53821680024 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 53821680024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78288779520).

53821680024 is an abundant number, since it is smaller than the sum of its proper divisors (102755879016).

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

53821680024 is a wasteful number, since it uses less digits than its factorization.

53821680024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 53821680024 in words is "fifty-three billion, eight hundred twenty-one million, six hundred eighty thousand, twenty-four".