5216698368000 has 2052 divisors, whose sum is σ = 23090687899812. Its totient is φ = 1129630924800.

The previous prime is 5216698367999. The next prime is 5216698368073. The reversal of 5216698368000 is 8638966125.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5216698368000 is a `hidden beast` number, since 5 + 216 + 69 + 8 + 368 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166934347776 + 5049764020224 = 408576^2 + 2247168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 274563071991 + ... + 274563072009.

It is an arithmetic number, because the mean of its divisors is an integer number (11252771881).

Almost surely, 2^{5216698368000} is an apocalyptic number.

5216698368000 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 5216698368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545343949906).

5216698368000 is an abundant number, since it is smaller than the sum of its proper divisors (17873989531812).

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

5216698368000 is an frugal number, since it uses more digits than its factorization.

5216698368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5216698368000 in words is "five trillion, two hundred sixteen billion, six hundred ninety-eight million, three hundred sixty-eight thousand".