52212729600 has 1134 divisors, whose sum is σ = 211094884896. Its totient is φ = 12765081600.

The previous prime is 52212729599. The next prime is 52212729641. The reversal of 52212729600 is 692721225.

It is a happy number.

52212729600 is a `hidden beast` number, since 5 + 2 + 2 + 1 + 27 + 29 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1684281585 + ... + 1684281615.

Almost surely, 2^52212729600 is an apocalyptic number.

52212729600 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 52212729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105547442448).

52212729600 is an abundant number, since it is smaller than the sum of its proper divisors (158882155296).

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

52212729600 is an equidigital number, since it uses as much as digits as its factorization.

52212729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 52212729600 in words is "fifty-two billion, two hundred twelve million, seven hundred twenty-nine thousand, six hundred".