5134363512300 has 432 divisors, whose sum is σ = 17877189474144. Its totient is φ = 1232341440000.

The previous prime is 5134363512287. The next prime is 5134363512307. The reversal of 5134363512300 is 32153634315.

5134363512300 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 3 + 635 + 12 + 3 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5134363512307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120966682 + ... + 121009118.

It is an arithmetic number, because the mean of its divisors is an integer number (41382383042).

Almost surely, 2^{5134363512300} is an apocalyptic number.

5134363512300 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 5134363512300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938594737072).

5134363512300 is an abundant number, since it is smaller than the sum of its proper divisors (12742825961844).

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

5134363512300 is a wasteful number, since it uses less digits than its factorization.

5134363512300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42591 (or 42559 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 5134363512300 in words is "five trillion, one hundred thirty-four billion, three hundred sixty-three million, five hundred twelve thousand, three hundred".