8564089978080 has 2304 divisors, whose sum is σ = 38377865111040. Its totient is φ = 1690730496000.

The previous prime is 8564089978069. The next prime is 8564089978127. The reversal of 8564089978080 is 808799804658.

8564089978080 is a `hidden beast` number, since 8 + 56 + 408 + 9 + 97 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20342256270 + ... + 20342256690.

It is an arithmetic number, because the mean of its divisors is an integer number (16657059510).

Almost surely, 2^{8564089978080} is an apocalyptic number.

8564089978080 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 8564089978080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188932555520).

8564089978080 is an abundant number, since it is smaller than the sum of its proper divisors (29813775132960).

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

8564089978080 is a wasteful number, since it uses less digits than its factorization.

8564089978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 8564089978080 in words is "eight trillion, five hundred sixty-four billion, eighty-nine million, nine hundred seventy-eight thousand, eighty".