5838400560 has 160 divisors (see below), whose sum is σ = 19131275520. Its totient is φ = 1468800000.

The previous prime is 5838400543. The next prime is 5838400591. The reversal of 5838400560 is 650048385.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142010 + ... + 1147110.

It is an arithmetic number, because the mean of its divisors is an integer number (119570472).

Almost surely, 2^5838400560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5838400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565637760).

5838400560 is an abundant number, since it is smaller than the sum of its proper divisors (13292874960).

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

5838400560 is a wasteful number, since it uses less digits than its factorization.

5838400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5838400560 is about 76409.4271670715. The cubic root of 5838400560 is about 1800.6582530772.

The spelling of 5838400560 in words is "five billion, eight hundred thirty-eight million, four hundred thousand, five hundred sixty".