5286300505200 has 2400 divisors, whose sum is σ = 23517264798720. Its totient is φ = 1118947737600.

The previous prime is 5286300505127. The next prime is 5286300505333. The reversal of 5286300505200 is 25050036825.

It is a happy number.

5286300505200 is a `hidden beast` number, since 5 + 2 + 86 + 3 + 0 + 0 + 50 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12041686581 + ... + 12041687019.

Almost surely, 2^{5286300505200} is an apocalyptic number.

5286300505200 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 5286300505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758632399360).

5286300505200 is an abundant number, since it is smaller than the sum of its proper divisors (18230964293520).

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

5286300505200 is a wasteful number, since it uses less digits than its factorization.

5286300505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5286300505200 in words is "five trillion, two hundred eighty-six billion, three hundred million, five hundred five thousand, two hundred".