5312840601600 has 1053 divisors, whose sum is σ = 22201027309773. Its totient is φ = 1214363566080.

The previous prime is 5312840601589. The next prime is 5312840601631. The reversal of 5312840601600 is 61060482135.

It is a happy number.

The square root of 5312840601600 is 2304960.

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

5312840601600 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 8 + 40 + 6 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1912622616576 + 3400217985024 = 1382976^2 + 1843968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 758977228797 + ... + 758977228803.

Almost surely, 2^{5312840601600} is an apocalyptic number.

5312840601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5312840601600 is the 2304960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312840601600

5312840601600 is an abundant number, since it is smaller than the sum of its proper divisors (16888186708173).

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

5312840601600 is an frugal number, since it uses more digits than its factorization.

5312840601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 5312840601600 by its sum of digits (36), we get a square (191262261657600 = 13829760²).

5312840601600 divided by its sum of digits (36) gives a square (147578905600 = 384160²).

The spelling of 5312840601600 in words is "five trillion, three hundred twelve billion, eight hundred forty million, six hundred one thousand, six hundred".