86006357140 has 72 divisors (see below), whose sum is σ = 198850629096. Its totient is φ = 31223808000.

The previous prime is 86006357131. The next prime is 86006357167. The reversal of 86006357140 is 4175360068.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13233741444 + 72772615696 = 115038^2 + 269764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86006357093 and 86006357102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464340 + ... + 1521940.

It is an arithmetic number, because the mean of its divisors is an integer number (2761814293).

Almost surely, 2^86006357140 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 86006357140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99425314548).

86006357140 is an abundant number, since it is smaller than the sum of its proper divisors (112844271956).

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

86006357140 is a wasteful number, since it uses less digits than its factorization.

86006357140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58249 (or 58236 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 86006357140 in words is "eighty-six billion, six million, three hundred fifty-seven thousand, one hundred forty".