8255116800 has 720 divisors, whose sum is σ = 35026374240. Its totient is φ = 1816657920.

The previous prime is 8255116757. The next prime is 8255116811. The reversal of 8255116800 is 86115528.

8255116800 is a `hidden beast` number, since 82 + 5 + 511 + 68 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23385424 + ... + 23385776.

It is an arithmetic number, because the mean of its divisors is an integer number (48647742).

Almost surely, 2^8255116800 is an apocalyptic number.

8255116800 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 8255116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513187120).

8255116800 is an abundant number, since it is smaller than the sum of its proper divisors (26771257440).

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

8255116800 is a wasteful number, since it uses less digits than its factorization.

8255116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 8255116800 is about 90857.6733138154. The cubic root of 8255116800 is about 2021.0376657335.

The spelling of 8255116800 in words is "eight billion, two hundred fifty-five million, one hundred sixteen thousand, eight hundred".