52816790829600 has 1296 divisors, whose sum is σ = 233726508936648. Its totient is φ = 11147818106880.

The previous prime is 52816790829589. The next prime is 52816790829683. The reversal of 52816790829600 is 692809761825.

52816790829600 is a `hidden beast` number, since 5 + 2 + 8 + 16 + 7 + 9 + 0 + 8 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15786985744656 + 37029805084944 = 3973284^2 + 6085212^2 .

It is a super-2 number, since 2×52816790829600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 317789722 + ... + 317955878.

Almost surely, 2^{52816790829600} is an apocalyptic number.

52816790829600 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 52816790829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116863254468324).

52816790829600 is an abundant number, since it is smaller than the sum of its proper divisors (180909718107048).

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

52816790829600 is a wasteful number, since it uses less digits than its factorization.

52816790829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166267 (or 166244 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 52816790829600 in words is "fifty-two trillion, eight hundred sixteen billion, seven hundred ninety million, eight hundred twenty-nine thousand, six hundred".