5617288800 has 108 divisors (see below), whose sum is σ = 19807990020. Its totient is φ = 1497941760.

The previous prime is 5617288757. The next prime is 5617288823. The reversal of 5617288800 is 88827165.

5617288800 is a `hidden beast` number, since 5 + 617 + 28 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 382890 + ... + 397289.

It is an arithmetic number, because the mean of its divisors is an integer number (183407315).

Almost surely, 2^5617288800 is an apocalyptic number.

5617288800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5617288800 is an abundant number, since it is smaller than the sum of its proper divisors (14190701220).

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

5617288800 is a wasteful number, since it uses less digits than its factorization.

5617288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780205 (or 780189 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5617288800 is about 74948.5743693634. The cubic root of 5617288800 is about 1777.6336016179.

The spelling of 5617288800 in words is "five billion, six hundred seventeen million, two hundred eighty-eight thousand, eight hundred".