6553126800 has 540 divisors, whose sum is σ = 25874901936. Its totient is φ = 1581638400.

The previous prime is 6553126793. The next prime is 6553126817. The reversal of 6553126800 is 86213556.

6553126800 is a `hidden beast` number, since 6 + 553 + 1 + 26 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28868287 + ... + 28868513.

Almost surely, 2^6553126800 is an apocalyptic number.

6553126800 is a gapful number since it is divisible by the number (60) 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 6553126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12937450968).

6553126800 is an abundant number, since it is smaller than the sum of its proper divisors (19321775136).

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

6553126800 is a wasteful number, since it uses less digits than its factorization.

6553126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 248 counting only the distinct ones).

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

The square root of 6553126800 is about 80951.3854112454. The cubic root of 6553126800 is about 1871.3263108385.

The spelling of 6553126800 in words is "six billion, five hundred fifty-three million, one hundred twenty-six thousand, eight hundred".