5982374400 has 240 divisors, whose sum is σ = 20011156704. Its totient is φ = 1575239680.

The previous prime is 5982374399. The next prime is 5982374429. The reversal of 5982374400 is 44732895.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186262 + ... + 3188138.

Almost surely, 2^5982374400 is an apocalyptic number.

5982374400 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 5982374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005578352).

5982374400 is an abundant number, since it is smaller than the sum of its proper divisors (14028782304).

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

5982374400 is a wasteful number, since it uses less digits than its factorization.

5982374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5982374400 is about 77345.8104877052. The cubic root of 5982374400 is about 1815.3395231841.

The spelling of 5982374400 in words is "five billion, nine hundred eighty-two million, three hundred seventy-four thousand, four hundred".