8580055680 has 512 divisors, whose sum is σ = 35163072000. Its totient is φ = 1936687104.

The previous prime is 8580055661. The next prime is 8580055717. The reversal of 8580055680 is 865500858.

8580055680 is a `hidden beast` number, since 8 + 5 + 80 + 0 + 5 + 568 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10765042 + ... + 10765838.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 2^8580055680 is an apocalyptic number.

8580055680 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 8580055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536000).

8580055680 is an abundant number, since it is smaller than the sum of its proper divisors (26583016320).

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

8580055680 is a wasteful number, since it uses less digits than its factorization.

8580055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 8580055680 is about 92628.5899709156. The cubic root of 8580055680 is about 2047.2145934483.

The spelling of 8580055680 in words is "eight billion, five hundred eighty million, fifty-five thousand, six hundred eighty".