8287150072320 has 2880 divisors, whose sum is σ = 37441259856000. Its totient is φ = 1745725685760.

The previous prime is 8287150072247. The next prime is 8287150072337. The reversal of 8287150072320 is 232700517828.

8287150072320 is a `hidden beast` number, since 8 + 2 + 8 + 71 + 500 + 72 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 23745415506 + ... + 23745415854.

It is an arithmetic number, because the mean of its divisors is an integer number (13000437450).

Almost surely, 2^{8287150072320} is an apocalyptic number.

8287150072320 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 8287150072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720629928000).

8287150072320 is an abundant number, since it is smaller than the sum of its proper divisors (29154109783680).

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

8287150072320 is a wasteful number, since it uses less digits than its factorization.

8287150072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 8287150072320 in words is "eight trillion, two hundred eighty-seven billion, one hundred fifty million, seventy-two thousand, three hundred twenty".