5827825777200 has 480 divisors, whose sum is σ = 21896750518272. Its totient is φ = 1297478784000.

The previous prime is 5827825777181. The next prime is 5827825777217. The reversal of 5827825777200 is 27775287285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49442335 + ... + 49560065.

Almost surely, 2^{5827825777200} is an apocalyptic number.

5827825777200 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 5827825777200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948375259136).

5827825777200 is an abundant number, since it is smaller than the sum of its proper divisors (16068924741072).

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

5827825777200 is a wasteful number, since it uses less digits than its factorization.

5827825777200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117913 (or 117902 counting only the distinct ones).

The product of its (nonzero) digits is 30732800, while the sum is 60.

The spelling of 5827825777200 in words is "five trillion, eight hundred twenty-seven billion, eight hundred twenty-five million, seven hundred seventy-seven thousand, two hundred".