52268318800 has 240 divisors, whose sum is σ = 136391270400. Its totient is φ = 19191744000.

The previous prime is 52268318789. The next prime is 52268318803. The reversal of 52268318800 is 881386225.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52268318803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37360501 + ... + 37361899.

It is an arithmetic number, because the mean of its divisors is an integer number (568296960).

Almost surely, 2^52268318800 is an apocalyptic number.

52268318800 is a gapful number since it is divisible by the number (50) 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 52268318800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68195635200).

52268318800 is an abundant number, since it is smaller than the sum of its proper divisors (84122951600).

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

52268318800 is a wasteful number, since it uses less digits than its factorization.

52268318800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 52268318800 in words is "fifty-two billion, two hundred sixty-eight million, three hundred eighteen thousand, eight hundred".