86666581680 has 320 divisors, whose sum is σ = 312130879488. Its totient is φ = 19482946560.

The previous prime is 86666581679. The next prime is 86666581691. The reversal of 86666581680 is 8618566668.

It is a super-2 number, since 2×86666581680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 77173599 + ... + 77174721.

Almost surely, 2^86666581680 is an apocalyptic number.

86666581680 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 86666581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156065439744).

86666581680 is an abundant number, since it is smaller than the sum of its proper divisors (225464297808).

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

86666581680 is a wasteful number, since it uses less digits than its factorization.

86666581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 86666581680 in words is "eighty-six billion, six hundred sixty-six million, five hundred eighty-one thousand, six hundred eighty".