5842180800 has 504 divisors, whose sum is σ = 22159325760. Its totient is φ = 1455667200.

The previous prime is 5842180697. The next prime is 5842180807. The reversal of 5842180800 is 80812485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5842180807) 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, 35841519 + ... + 35841681.

Almost surely, 2^5842180800 is an apocalyptic number.

5842180800 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 5842180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079662880).

5842180800 is an abundant number, since it is smaller than the sum of its proper divisors (16317144960).

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

5842180800 is a wasteful number, since it uses less digits than its factorization.

5842180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 5842180800 is about 76434.1599024939. The cubic root of 5842180800 is about 1801.0467985188.

The spelling of 5842180800 in words is "five billion, eight hundred forty-two million, one hundred eighty thousand, eight hundred".