52636057200 has 480 divisors, whose sum is σ = 198350400000. Its totient is φ = 13220444160.

The previous prime is 52636057183. The next prime is 52636057207. The reversal of 52636057200 is 275063625.

It is a happy number.

52636057200 is a `hidden beast` number, since 5 + 26 + 3 + 60 + 572 + 0 + 0 = 666.

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 (52636057207) 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 95 ways as a sum of consecutive naturals, for example, 40834156 + ... + 40835444.

It is an arithmetic number, because the mean of its divisors is an integer number (413230000).

Almost surely, 2^52636057200 is an apocalyptic number.

52636057200 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 52636057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99175200000).

52636057200 is an abundant number, since it is smaller than the sum of its proper divisors (145714342800).

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

52636057200 is a wasteful number, since it uses less digits than its factorization.

52636057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 52636057200 in words is "fifty-two billion, six hundred thirty-six million, fifty-seven thousand, two hundred".