8505215470080 has 1920 divisors, whose sum is σ = 36392192179200. Its totient is φ = 1831191183360.

The previous prime is 8505215470079. The next prime is 8505215470091. The reversal of 8505215470080 is 800745125058.

8505215470080 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 21 + 547 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 13268666560 + ... + 13268667200.

It is an arithmetic number, because the mean of its divisors is an integer number (18954266760).

Almost surely, 2^{8505215470080} is an apocalyptic number.

8505215470080 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 8505215470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196096089600).

8505215470080 is an abundant number, since it is smaller than the sum of its proper divisors (27886976709120).

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

8505215470080 is a wasteful number, since it uses less digits than its factorization.

8505215470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 8505215470080 in words is "eight trillion, five hundred five billion, two hundred fifteen million, four hundred seventy thousand, eighty".