5418652800 has 576 divisors, whose sum is σ = 20563371360. Its totient is φ = 1243545600.

The previous prime is 5418652793. The next prime is 5418652801. The reversal of 5418652800 is 82568145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418652801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55862352 + ... + 55862448.

Almost surely, 2^5418652800 is an apocalyptic number.

5418652800 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 5418652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281685680).

5418652800 is an abundant number, since it is smaller than the sum of its proper divisors (15144718560).

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

5418652800 is a wasteful number, since it uses less digits than its factorization.

5418652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 5418652800 is about 73611.4991017029. The cubic root of 5418652800 is about 1756.4283629001.

The spelling of 5418652800 in words is "five billion, four hundred eighteen million, six hundred fifty-two thousand, eight hundred".