86485763880 has 320 divisors, whose sum is σ = 301400352000. Its totient is φ = 22216674816.

The previous prime is 86485763863. The next prime is 86485763887. The reversal of 86485763880 is 8836758468.

86485763880 is a `hidden beast` number, since 8 + 6 + 485 + 76 + 3 + 8 + 80 = 666.

It is a super-2 number, since 2×86485763880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86485763887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58160497 + ... + 58161983.

It is an arithmetic number, because the mean of its divisors is an integer number (941876100).

Almost surely, 2^86485763880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86485763880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700176000).

86485763880 is an abundant number, since it is smaller than the sum of its proper divisors (214914588120).

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

86485763880 is a wasteful number, since it uses less digits than its factorization.

86485763880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 86485763880 in words is "eighty-six billion, four hundred eighty-five million, seven hundred sixty-three thousand, eight hundred eighty".