86890282416 has 400 divisors, whose sum is σ = 297756180480. Its totient is φ = 23938260480.

The previous prime is 86890282387. The next prime is 86890282433. The reversal of 86890282416 is 61428209868.

86890282416 is a `hidden beast` number, since 8 + 68 + 90 + 2 + 82 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143146785 + ... + 143147391.

Almost surely, 2^86890282416 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 86890282416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148878090240).

86890282416 is an abundant number, since it is smaller than the sum of its proper divisors (210865898064).

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

86890282416 is a wasteful number, since it uses less digits than its factorization.

86890282416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 86890282416 in words is "eighty-six billion, eight hundred ninety million, two hundred eighty-two thousand, four hundred sixteen".