5818982400 has 1008 divisors, whose sum is σ = 26620671168. Its totient is φ = 1179648000.

The previous prime is 5818982399. The next prime is 5818982401. The reversal of 5818982400 is 42898185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5818982399) and next prime (5818982401).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5818982401) 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, 141926380 + ... + 141926420.

It is an arithmetic number, because the mean of its divisors is an integer number (26409396).

Almost surely, 2^5818982400 is an apocalyptic number.

5818982400 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 5818982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310335584).

5818982400 is an abundant number, since it is smaller than the sum of its proper divisors (20801688768).

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

5818982400 is a wasteful number, since it uses less digits than its factorization.

5818982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5818982400 is about 76282.2548172247. The cubic root of 5818982400 is about 1798.6597430503.

The spelling of 5818982400 in words is "five billion, eight hundred eighteen million, nine hundred eighty-two thousand, four hundred".