8087310799200 has 1152 divisors, whose sum is σ = 31343518886400. Its totient is φ = 2031663513600.

The previous prime is 8087310799153. The next prime is 8087310799207. The reversal of 8087310799200 is 29970137808.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8087310799207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7014145824 + ... + 7014146976.

It is an arithmetic number, because the mean of its divisors is an integer number (27207915700).

Almost surely, 2^{8087310799200} is an apocalyptic number.

8087310799200 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 8087310799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671759443200).

8087310799200 is an abundant number, since it is smaller than the sum of its proper divisors (23256208087200).

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

8087310799200 is a wasteful number, since it uses less digits than its factorization.

8087310799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 8087310799200 in words is "eight trillion, eighty-seven billion, three hundred ten million, seven hundred ninety-nine thousand, two hundred".