86485399056 has 315 divisors, whose sum is σ = 293004157341. Its totient is φ = 24646591872.

The previous prime is 86485399003. The next prime is 86485399061. The reversal of 86485399056 is 65099358468.

The square root of 86485399056 is 294084.

It is a perfect power (a square), and thus also a powerful number.

86485399056 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 539 + 90 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20415837456 + 66069561600 = 142884^2 + 257040^2 .

It is a super-2 number, since 2×86485399056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 86485398984 and 86485399002.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 222327310 + ... + 222327698.

Almost surely, 2^86485399056 is an apocalyptic number.

86485399056 is the 294084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86485399056

86485399056 is an abundant number, since it is smaller than the sum of its proper divisors (206518758285).

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

86485399056 is an frugal number, since it uses more digits than its factorization.

86485399056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 86485399056 in words is "eighty-six billion, four hundred eighty-five million, three hundred ninety-nine thousand, fifty-six".