8551468800 has 648 divisors, whose sum is σ = 35427065856. Its totient is φ = 1927618560.

The previous prime is 8551468799. The next prime is 8551468811. The reversal of 8551468800 is 88641558.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51206317 + ... + 51206483.

Almost surely, 2^8551468800 is an apocalyptic number.

8551468800 is a gapful number since it is divisible by the number (80) 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 8551468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713532928).

8551468800 is an abundant number, since it is smaller than the sum of its proper divisors (26875597056).

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

8551468800 is a wasteful number, since it uses less digits than its factorization.

8551468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8551468800 is about 92474.1520642390. The cubic root of 8551468800 is about 2044.9384390537.

The spelling of 8551468800 in words is "eight billion, five hundred fifty-one million, four hundred sixty-eight thousand, eight hundred".