5861980800 has 768 divisors, whose sum is σ = 24542179200. Its totient is φ = 1353646080.

The previous prime is 5861980777. The next prime is 5861980807. The reversal of 5861980800 is 80891685.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5861980807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19094247 + ... + 19094553.

Almost surely, 2^5861980800 is an apocalyptic number.

5861980800 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 5861980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271089600).

5861980800 is an abundant number, since it is smaller than the sum of its proper divisors (18680198400).

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

5861980800 is a wasteful number, since it uses less digits than its factorization.

5861980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 5861980800 is about 76563.5735843097. The cubic root of 5861980800 is about 1803.0791740449.

The spelling of 5861980800 in words is "five billion, eight hundred sixty-one million, nine hundred eighty thousand, eight hundred".