86283038268 has 288 divisors, whose sum is σ = 267420142080. Its totient is φ = 23974030080.

The previous prime is 86283038251. The next prime is 86283038273.

86283038268 is a `hidden beast` number, since 8 + 628 + 3 + 0 + 3 + 8 + 2 + 6 + 8 = 666.

86283038268 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118683321 + ... + 118684047.

It is an arithmetic number, because the mean of its divisors is an integer number (928542160).

Almost surely, 2^86283038268 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 86283038268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133710071040).

86283038268 is an abundant number, since it is smaller than the sum of its proper divisors (181137103812).

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

86283038268 is a wasteful number, since it uses less digits than its factorization.

86283038268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86283038268 in words is "eighty-six billion, two hundred eighty-three million, thirty-eight thousand, two hundred sixty-eight".