53737584723264 has 224 divisors, whose sum is σ = 158096887889920. Its totient is φ = 15997222656000.

The previous prime is 53737584723239. The next prime is 53737584723343. The reversal of 53737584723264 is 46232748573735.

It is a junction number, because it is equal to n+sod(n) for n = 53737584723195 and 53737584723204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313364457 + ... + 313535895.

It is an arithmetic number, because the mean of its divisors is an integer number (705789678080).

Almost surely, 2^{53737584723264} 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 53737584723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79048443944960).

53737584723264 is an abundant number, since it is smaller than the sum of its proper divisors (104359303166656).

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

53737584723264 is a wasteful number, since it uses less digits than its factorization.

53737584723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175549 (or 175539 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 66.

The spelling of 53737584723264 in words is "fifty-three trillion, seven hundred thirty-seven billion, five hundred eighty-four million, seven hundred twenty-three thousand, two hundred sixty-four".