8551872000 has 960 divisors, whose sum is σ = 37113785280. Its totient is φ = 1935360000.

The previous prime is 8551871941. The next prime is 8551872019. The reversal of 8551872000 is 2781558.

8551872000 is a `hidden beast` number, since 8 + 551 + 87 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84671950 + ... + 84672050.

It is an arithmetic number, because the mean of its divisors is an integer number (38660193).

Almost surely, 2^8551872000 is an apocalyptic number.

8551872000 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 8551872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556892640).

8551872000 is an abundant number, since it is smaller than the sum of its proper divisors (28561913280).

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

8551872000 is a wasteful number, since it uses less digits than its factorization.

8551872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 8551872000 is about 92476.3321071938. The cubic root of 8551872000 is about 2044.9705780245.

The spelling of 8551872000 in words is "eight billion, five hundred fifty-one million, eight hundred seventy-two thousand".