5300933263200 has 1152 divisors, whose sum is σ = 20372896051200. Its totient is φ = 1328044032000.

The previous prime is 5300933263193. The next prime is 5300933263211. The reversal of 5300933263200 is 23623390035.

5300933263200 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 9 + 3 + 326 + 320 + 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 191 ways as a sum of consecutive naturals, for example, 8043904471 + ... + 8043905129.

It is an arithmetic number, because the mean of its divisors is an integer number (17684805600).

Almost surely, 2^{5300933263200} is an apocalyptic number.

5300933263200 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 5300933263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186448025600).

5300933263200 is an abundant number, since it is smaller than the sum of its proper divisors (15071962788000).

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

5300933263200 is a wasteful number, since it uses less digits than its factorization.

5300933263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The spelling of 5300933263200 in words is "five trillion, three hundred billion, nine hundred thirty-three million, two hundred sixty-three thousand, two hundred".