53279581888512 has 2016 divisors, whose sum is σ = 197779728107520. Its totient is φ = 13765147361280.

The previous prime is 53279581888483. The next prime is 53279581888537. The reversal of 53279581888512 is 21588818597235.

53279581888512 is a `hidden beast` number, since 5 + 3 + 2 + 7 + 95 + 8 + 18 + 8 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (387072000) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 729857286108 + ... + 729857286180.

Almost surely, 2^{53279581888512} 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 53279581888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98889864053760).

53279581888512 is an abundant number, since it is smaller than the sum of its proper divisors (144500146219008).

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

53279581888512 is an frugal number, since it uses more digits than its factorization.

53279581888512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 135 counting only the distinct ones).

The product of its digits is 387072000, while the sum is 72.

The spelling of 53279581888512 in words is "fifty-three trillion, two hundred seventy-nine billion, five hundred eighty-one million, eight hundred eighty-eight thousand, five hundred twelve".