5842508000 has 384 divisors, whose sum is σ = 17390370816. Its totient is φ = 1886976000.

The previous prime is 5842507967. The next prime is 5842508011. The reversal of 5842508000 is 8052485.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46003937 + ... + 46004063.

It is an arithmetic number, because the mean of its divisors is an integer number (45287424).

Almost surely, 2^5842508000 is an apocalyptic number.

5842508000 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 5842508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695185408).

5842508000 is an abundant number, since it is smaller than the sum of its proper divisors (11547862816).

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

5842508000 is a wasteful number, since it uses less digits than its factorization.

5842508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 5842508000 is about 76436.3002767664. The cubic root of 5842508000 is about 1801.0804213234.

The spelling of 5842508000 in words is "five billion, eight hundred forty-two million, five hundred eight thousand".