86297427216 has 1800 divisors, whose sum is σ = 371859976224. Its totient is φ = 19020718080.

The previous prime is 86297427193. The next prime is 86297427221. The reversal of 86297427216 is 61272479268.

86297427216 is a `hidden beast` number, since 8 + 629 + 7 + 4 + 2 + 7 + 2 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4064256) is a multiple of the sum of its prime divisors (96).

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 359 ways as a sum of consecutive naturals, for example, 2006916891 + ... + 2006916933.

Almost surely, 2^86297427216 is an apocalyptic number.

86297427216 is a gapful number since it is divisible by the number (86) 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 86297427216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185929988112).

86297427216 is an abundant number, since it is smaller than the sum of its proper divisors (285562549008).

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

86297427216 is a wasteful number, since it uses less digits than its factorization.

86297427216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 86297427216 in words is "eighty-six billion, two hundred ninety-seven million, four hundred twenty-seven thousand, two hundred sixteen".