53218593792 has 1056 divisors, whose sum is σ = 206007459840. Its totient is φ = 12846366720.

The previous prime is 53218593763. The next prime is 53218593797. The reversal of 53218593792 is 29739581235.

53218593792 is a `hidden beast` number, since 5 + 3 + 218 + 59 + 379 + 2 = 666.

Its product of digits (4082400) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (53218593797) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 597961684 + ... + 597961772.

Almost surely, 2^53218593792 is an apocalyptic number.

53218593792 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 53218593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103003729920).

53218593792 is an abundant number, since it is smaller than the sum of its proper divisors (152788866048).

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

53218593792 is a wasteful number, since it uses less digits than its factorization.

53218593792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 53218593792 in words is "fifty-three billion, two hundred eighteen million, five hundred ninety-three thousand, seven hundred ninety-two".