8552117851200 has 2688 divisors, whose sum is σ = 39778692096000. Its totient is φ = 1736051097600.

The previous prime is 8552117851177. The next prime is 8552117851223. The reversal of 8552117851200 is 21587112558.

It is a happy number.

8552117851200 is a `hidden beast` number, since 8 + 5 + 52 + 11 + 78 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8552117851177) and next prime (8552117851223).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37345492686 + ... + 37345492914.

Almost surely, 2^{8552117851200} is an apocalyptic number.

8552117851200 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 8552117851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19889346048000).

8552117851200 is an abundant number, since it is smaller than the sum of its proper divisors (31226574244800).

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

8552117851200 is a wasteful number, since it uses less digits than its factorization.

8552117851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 8552117851200 in words is "eight trillion, five hundred fifty-two billion, one hundred seventeen million, eight hundred fifty-one thousand, two hundred".