52991605800 has 288 divisors, whose sum is σ = 204249427200. Its totient is φ = 12061002240.

The previous prime is 52991605729. The next prime is 52991605801. The reversal of 52991605800 is 850619925.

52991605800 is a `hidden beast` number, since 5 + 2 + 9 + 9 + 1 + 60 + 580 + 0 = 666.

It is a super-2 number, since 2×52991605800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52991605801) 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 71 ways as a sum of consecutive naturals, for example, 3002602 + ... + 3020198.

It is an arithmetic number, because the mean of its divisors is an integer number (709199400).

Almost surely, 2^52991605800 is an apocalyptic number.

52991605800 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 52991605800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102124713600).

52991605800 is an abundant number, since it is smaller than the sum of its proper divisors (151257821400).

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

52991605800 is a wasteful number, since it uses less digits than its factorization.

52991605800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17865 (or 17853 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 52991605800 in words is "fifty-two billion, nine hundred ninety-one million, six hundred five thousand, eight hundred".