5213282536800 has 504 divisors, whose sum is σ = 20549509840944. Its totient is φ = 1283267681280.

The previous prime is 5213282536673. The next prime is 5213282536801. The reversal of 5213282536800 is 86352823125.

5213282536800 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 282 + 5 + 368 + 0 + 0 = 666.

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 (5213282536801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7237789 + ... + 7925411.

It is an arithmetic number, because the mean of its divisors is an integer number (40772836986).

Almost surely, 2^{5213282536800} is an apocalyptic number.

5213282536800 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 5213282536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274754920472).

5213282536800 is an abundant number, since it is smaller than the sum of its proper divisors (15336227304144).

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

5213282536800 is a wasteful number, since it uses less digits than its factorization.

5213282536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687674 (or 687646 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5213282536800 in words is "five trillion, two hundred thirteen billion, two hundred eighty-two million, five hundred thirty-six thousand, eight hundred".