53335306752 has 720 divisors, whose sum is σ = 189106771392. Its totient is φ = 13237862400.

The previous prime is 53335306747. The next prime is 53335306799. The reversal of 53335306752 is 25760353335.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353213877 + ... + 353214027.

Almost surely, 2^53335306752 is an apocalyptic number.

53335306752 is a gapful number since it is divisible by the number (52) 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 53335306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94553385696).

53335306752 is an abundant number, since it is smaller than the sum of its proper divisors (135771464640).

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

53335306752 is a wasteful number, since it uses less digits than its factorization.

53335306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 42.

The spelling of 53335306752 in words is "fifty-three billion, three hundred thirty-five million, three hundred six thousand, seven hundred fifty-two".