86259266160 has 160 divisors (see below), whose sum is σ = 285201870912. Its totient is φ = 21491220480.

The previous prime is 86259266147. The next prime is 86259266167. The reversal of 86259266160 is 6166295268.

It is a super-2 number, since 2×86259266160² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86259266167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481800 + ... + 636120.

Almost surely, 2^86259266160 is an apocalyptic number.

86259266160 is a gapful number since it is divisible by the number (80) 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 86259266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142600935456).

86259266160 is an abundant number, since it is smaller than the sum of its proper divisors (198942604752).

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

86259266160 is a wasteful number, since it uses less digits than its factorization.

86259266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154491 (or 154485 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 86259266160 in words is "eighty-six billion, two hundred fifty-nine million, two hundred sixty-six thousand, one hundred sixty".