86271267456 has 768 divisors, whose sum is σ = 309023769600. Its totient is φ = 23648993280.

The previous prime is 86271267451. The next prime is 86271267457. The reversal of 86271267456 is 65476217268.

It is a happy number.

86271267456 is a `hidden beast` number, since 8 + 62 + 7 + 126 + 7 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86271267451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149516640 + ... + 149517216.

It is an arithmetic number, because the mean of its divisors is an integer number (402374700).

Almost surely, 2^86271267456 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 86271267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154511884800).

86271267456 is an abundant number, since it is smaller than the sum of its proper divisors (222752502144).

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

86271267456 is a wasteful number, since it uses less digits than its factorization.

86271267456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 86271267456 in words is "eighty-six billion, two hundred seventy-one million, two hundred sixty-seven thousand, four hundred fifty-six".