5118616800 has 720 divisors, whose sum is σ = 20961908352. Its totient is φ = 1204761600.

The previous prime is 5118616799. The next prime is 5118616807. The reversal of 5118616800 is 86168115.

5118616800 is a `hidden beast` number, since 511 + 8 + 61 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118616807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30650317 + ... + 30650483.

Almost surely, 2^5118616800 is an apocalyptic number.

5118616800 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 5118616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480954176).

5118616800 is an abundant number, since it is smaller than the sum of its proper divisors (15843291552).

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

5118616800 is a wasteful number, since it uses less digits than its factorization.

5118616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 5118616800 is about 71544.5092232800. The cubic root of 5118616800 is about 1723.3925289807.

The spelling of 5118616800 in words is "five billion, one hundred eighteen million, six hundred sixteen thousand, eight hundred".