86227255296 has 1152 divisors, whose sum is σ = 342649485360. Its totient is φ = 21403533312.

The previous prime is 86227255271. The next prime is 86227255337. The reversal of 86227255296 is 69255272268.

86227255296 is a `hidden beast` number, since 8 + 62 + 27 + 2 + 552 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×86227255296³ (a number of 34 digits) contains 333 as substring.

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

Its product of digits (7257600) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5072191480 + ... + 5072191496.

Almost surely, 2^86227255296 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 86227255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171324742680).

86227255296 is an abundant number, since it is smaller than the sum of its proper divisors (256422230064).

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

86227255296 is an equidigital number, since it uses as much as digits as its factorization.

86227255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 86227255296 in words is "eighty-six billion, two hundred twenty-seven million, two hundred fifty-five thousand, two hundred ninety-six".