5013664007300 has 144 divisors (see below), whose sum is σ = 11943565687872. Its totient is φ = 1815365260800.

The previous prime is 5013664007269. The next prime is 5013664007311. The reversal of 5013664007300 is 37004663105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146808827 + ... + 146842973.

It is an arithmetic number, because the mean of its divisors is an integer number (82941428388).

Almost surely, 2^{5013664007300} is an apocalyptic number.

5013664007300 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 5013664007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971782843936).

5013664007300 is an abundant number, since it is smaller than the sum of its proper divisors (6929901680572).

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

5013664007300 is a wasteful number, since it uses less digits than its factorization.

5013664007300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36358 (or 36351 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 5013664007300 in words is "five trillion, thirteen billion, six hundred sixty-four million, seven thousand, three hundred".