8086774585680 has 480 divisors, whose sum is σ = 32794697505024. Its totient is φ = 1813528424448.

The previous prime is 8086774585559. The next prime is 8086774585699. The reversal of 8086774585680 is 865854776808.

8086774585680 is a `hidden beast` number, since 8 + 0 + 8 + 6 + 7 + 7 + 4 + 58 + 568 + 0 = 666.

It is a super-2 number, since 2×8086774585680² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8086774585599 and 8086774585608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6651612 + ... + 7772868.

Almost surely, 2^{8086774585680} is an apocalyptic number.

8086774585680 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 8086774585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397348752512).

8086774585680 is an abundant number, since it is smaller than the sum of its proper divisors (24707922919344).

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

8086774585680 is a wasteful number, since it uses less digits than its factorization.

8086774585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121345 (or 1121327 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 8086774585680 in words is "eight trillion, eighty-six billion, seven hundred seventy-four million, five hundred eighty-five thousand, six hundred eighty".