5236005685824 has 315 divisors, whose sum is σ = 15810123257643. Its totient is φ = 1713428121600.

The previous prime is 5236005685819. The next prime is 5236005685849. The reversal of 5236005685824 is 4285865006325.

The square root of 5236005685824 is 2288232.

It is a perfect power (a square), and thus also a powerful number.

5236005685824 is a `hidden beast` number, since 5 + 2 + 3 + 6 + 0 + 0 + 56 + 8 + 582 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2821835548224 + 2414170137600 = 1679832^2 + 1553760^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10049914684 + ... + 10049915204.

Almost surely, 2^{5236005685824} is an apocalyptic number.

5236005685824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5236005685824 is the 2288232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5236005685824

5236005685824 is an abundant number, since it is smaller than the sum of its proper divisors (10574117571819).

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

5236005685824 is an frugal number, since it uses more digits than its factorization.

5236005685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 5236005685824 in words is "five trillion, two hundred thirty-six billion, five million, six hundred eighty-five thousand, eight hundred twenty-four".