52213636800 has 840 divisors, whose sum is σ = 218965735296. Its totient is φ = 12089917440.

The previous prime is 52213636777. The next prime is 52213636807. The reversal of 52213636800 is 863631225.

It is a happy number.

52213636800 is a `hidden beast` number, since 5 + 2 + 2 + 13 + 636 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52213636807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28640689 + ... + 28642511.

Almost surely, 2^52213636800 is an apocalyptic number.

52213636800 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 52213636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109482867648).

52213636800 is an abundant number, since it is smaller than the sum of its proper divisors (166752098496).

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

52213636800 is a wasteful number, since it uses less digits than its factorization.

52213636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 52213636800 in words is "fifty-two billion, two hundred thirteen million, six hundred thirty-six thousand, eight hundred".