53812864576 has 63 divisors (see below), whose sum is σ = 108191444907. Its totient is φ = 26556612480.

The previous prime is 53812864571. The next prime is 53812864577. The reversal of 53812864576 is 67546821835.

It is a happy number.

The square root of 53812864576 is 231976.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (9676800) is a multiple of the sum of its prime factors (768).

It is not an unprimeable number, because it can be changed into a prime (53812864571) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 198571321 + ... + 198571591.

Almost surely, 2^53812864576 is an apocalyptic number.

53812864576 is the 231976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53812864576

53812864576 is an abundant number, since it is smaller than the sum of its proper divisors (54378580331).

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

53812864576 is an frugal number, since it uses more digits than its factorization.

53812864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 380 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 53812864576 in words is "fifty-three billion, eight hundred twelve million, eight hundred sixty-four thousand, five hundred seventy-six".