5365099987200 has 324 divisors, whose sum is σ = 19357442524420. Its totient is φ = 1417566044160.

The previous prime is 5365099987189. The next prime is 5365099987231. The reversal of 5365099987200 is 27899905635.

5365099987200 is a `hidden beast` number, since 5 + 36 + 509 + 9 + 98 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 456500219904 + 4908599767296 = 675648^2 + 2215536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5851134 + ... + 6705666.

Almost surely, 2^{5365099987200} is an apocalyptic number.

5365099987200 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 5365099987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9678721262210).

5365099987200 is an abundant number, since it is smaller than the sum of its proper divisors (13992342537220).

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

5365099987200 is a wasteful number, since it uses less digits than its factorization.

5365099987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854674 (or 854652 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 5365099987200 in words is "five trillion, three hundred sixty-five billion, ninety-nine million, nine hundred eighty-seven thousand, two hundred".