8628855206400 has 1440 divisors, whose sum is σ = 36967191573312. Its totient is φ = 1894308249600.

The previous prime is 8628855206371. The next prime is 8628855206417. The reversal of 8628855206400 is 46025588268.

It is a happy number.

8628855206400 is a `hidden beast` number, since 8 + 6 + 2 + 88 + 552 + 0 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 873095859 + ... + 873105741.

Almost surely, 2^{8628855206400} is an apocalyptic number.

8628855206400 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 8628855206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483595786656).

8628855206400 is an abundant number, since it is smaller than the sum of its proper divisors (28338336366912).

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

8628855206400 is a wasteful number, since it uses less digits than its factorization.

8628855206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 8628855206400 in words is "eight trillion, six hundred twenty-eight billion, eight hundred fifty-five million, two hundred six thousand, four hundred".