8515920000 has 640 divisors, whose sum is σ = 33419802240. Its totient is φ = 1880064000.

The previous prime is 8515919999. The next prime is 8515920043. The reversal of 8515920000 is 295158.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8515920000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62159932 + ... + 62160068.

It is an arithmetic number, because the mean of its divisors is an integer number (52218441).

Almost surely, 2^8515920000 is an apocalyptic number.

8515920000 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 8515920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709901120).

8515920000 is an abundant number, since it is smaller than the sum of its proper divisors (24903882240).

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

8515920000 is a wasteful number, since it uses less digits than its factorization.

8515920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 8515920000 is about 92281.7425063051. The cubic root of 8515920000 is about 2042.1008729882.

The spelling of 8515920000 in words is "eight billion, five hundred fifteen million, nine hundred twenty thousand".