5312662732800 has 924 divisors, whose sum is σ = 19896179596860. Its totient is φ = 1406517903360.

The previous prime is 5312662732781. The next prime is 5312662732801. The reversal of 5312662732800 is 82372662135.

5312662732800 is a `hidden beast` number, since 5 + 3 + 12 + 6 + 627 + 3 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312662732801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 38220595131 + ... + 38220595269.

Almost surely, 2^{5312662732800} is an apocalyptic number.

5312662732800 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 5312662732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948089798430).

5312662732800 is an abundant number, since it is smaller than the sum of its proper divisors (14583516864060).

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

5312662732800 is an frugal number, since it uses more digits than its factorization.

5312662732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5312662732800 in words is "five trillion, three hundred twelve billion, six hundred sixty-two million, seven hundred thirty-two thousand, eight hundred".