5134616620800 has 216 divisors, whose sum is σ = 17007850594560. Its totient is φ = 1364177203200.

The previous prime is 5134616620729. The next prime is 5134616620801. The reversal of 5134616620800 is 80266164315.

It is a super-2 number, since 2×5134616620800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134616620801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4709791 + ... + 5696609.

Almost surely, 2^{5134616620800} is an apocalyptic number.

5134616620800 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 5134616620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503925297280).

5134616620800 is an abundant number, since it is smaller than the sum of its proper divisors (11873233973760).

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

5134616620800 is a wasteful number, since it uses less digits than its factorization.

5134616620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987119 (or 987100 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 5134616620800 in words is "five trillion, one hundred thirty-four billion, six hundred sixteen million, six hundred twenty thousand, eight hundred".