5842560000 has 440 divisors, whose sum is σ = 20719242720. Its totient is φ = 1458176000.

The previous prime is 5842559971. The next prime is 5842560013. The reversal of 5842560000 is 652485.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5842560000.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32639911 + ... + 32640089.

It is an arithmetic number, because the mean of its divisors is an integer number (47089188).

Almost surely, 2^5842560000 is an apocalyptic number.

5842560000 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 5842560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359621360).

5842560000 is an abundant number, since it is smaller than the sum of its proper divisors (14876682720).

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

5842560000 is a wasteful number, since it uses less digits than its factorization.

5842560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5842560000 is about 76436.6404285275. The cubic root of 5842560000 is about 1801.0857646853.

The spelling of 5842560000 in words is "five billion, eight hundred forty-two million, five hundred sixty thousand".