2153566800 has 720 divisors, whose sum is σ = 9887260032. Its totient is φ = 420249600.

The previous prime is 2153566787. The next prime is 2153566801. The reversal of 2153566800 is 86653512.

2153566800 is a `hidden beast` number, since 2 + 15 + 3 + 566 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153566801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4712172 + ... + 4712628.

Almost surely, 2^2153566800 is an apocalyptic number.

2153566800 is a gapful number since it is divisible by the number (20) 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 2153566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943630016).

2153566800 is an abundant number, since it is smaller than the sum of its proper divisors (7733693232).

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

2153566800 is a wasteful number, since it uses less digits than its factorization.

2153566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2153566800 is about 46406.5383324376. The cubic root of 2153566800 is about 1291.3762129200.

The spelling of 2153566800 in words is "two billion, one hundred fifty-three million, five hundred sixty-six thousand, eight hundred".