5818886400 has 216 divisors, whose sum is σ = 19724959744. Its totient is φ = 1509580800.

The previous prime is 5818886399. The next prime is 5818886407. The reversal of 5818886400 is 46888185.

It is a super-2 number, since 2×5818886400² = 67718877872209920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5818886400.

It is not an unprimeable number, because it can be changed into a prime (5818886407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706305 + ... + 714495.

Almost surely, 2^5818886400 is an apocalyptic number.

5818886400 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 5818886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9862479872).

5818886400 is an abundant number, since it is smaller than the sum of its proper divisors (13906073344).

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

5818886400 is a wasteful number, since it uses less digits than its factorization.

5818886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 5818886400 is about 76281.6255726109. The cubic root of 5818886400 is about 1798.6498517283.

The spelling of 5818886400 in words is "five billion, eight hundred eighteen million, eight hundred eighty-six thousand, four hundred".