5662288800 has 1008 divisors, whose sum is σ = 25274007360. Its totient is φ = 1209323520.

The previous prime is 5662288799. The next prime is 5662288811. The reversal of 5662288800 is 88822665.

5662288800 is a `hidden beast` number, since 566 + 2 + 2 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 77565564 + ... + 77565636.

It is an arithmetic number, because the mean of its divisors is an integer number (25073420).

Almost surely, 2^5662288800 is an apocalyptic number.

5662288800 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 5662288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637003680).

5662288800 is an abundant number, since it is smaller than the sum of its proper divisors (19611718560).

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

5662288800 is a wasteful number, since it uses less digits than its factorization.

5662288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5662288800 is about 75248.1813733727. The cubic root of 5662288800 is about 1782.3678457036.

The spelling of 5662288800 in words is "five billion, six hundred sixty-two million, two hundred eighty-eight thousand, eight hundred".