5218836480000 has 2550 divisors, whose sum is σ = 23063366143202. Its totient is φ = 1167851520000.

The previous prime is 5218836479947. The next prime is 5218836480007. The reversal of 5218836480000 is 846388125.

5218836480000 is a `hidden beast` number, since 521 + 8 + 83 + 6 + 48 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 3058077597696 + 2160758882304 = 1748736^2 + 1469952^2 .

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 (5218836480007) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 401448959994 + ... + 401448960006.

Almost surely, 2^{5218836480000} is an apocalyptic number.

5218836480000 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 5218836480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531683071601).

5218836480000 is an abundant number, since it is smaller than the sum of its proper divisors (17844529663202).

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

5218836480000 is an frugal number, since it uses more digits than its factorization.

5218836480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5218836480000 in words is "five trillion, two hundred eighteen billion, eight hundred thirty-six million, four hundred eighty thousand".