8488771200 has 1152 divisors, whose sum is σ = 38672524800. Its totient is φ = 1725235200.

The previous prime is 8488771183. The next prime is 8488771217. The reversal of 8488771200 is 21778848.

It is an interprime number because it is at equal distance from previous prime (8488771183) and next prime (8488771217).

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 107452761 + ... + 107452839.

It is an arithmetic number, because the mean of its divisors is an integer number (33569900).

Almost surely, 2^8488771200 is an apocalyptic number.

8488771200 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 8488771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336262400).

8488771200 is an abundant number, since it is smaller than the sum of its proper divisors (30183753600).

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

8488771200 is a wasteful number, since it uses less digits than its factorization.

8488771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 8488771200 is about 92134.5277298364. The cubic root of 8488771200 is about 2039.9284865358.

The spelling of 8488771200 in words is "eight billion, four hundred eighty-eight million, seven hundred seventy-one thousand, two hundred".