86371041072 has 80 divisors (see below), whose sum is σ = 227195652992. Its totient is φ = 28267937280.

The previous prime is 86371041067. The next prime is 86371041077. The reversal of 86371041072 is 27014017368.

It is an interprime number because it is at equal distance from previous prime (86371041067) and next prime (86371041077).

It is a super-2 number, since 2×86371041072² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86371041072.

It is not an unprimeable number, because it can be changed into a prime (86371041077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943572 + ... + 1031052.

Almost surely, 2^86371041072 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 86371041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113597826496).

86371041072 is an abundant number, since it is smaller than the sum of its proper divisors (140824611920).

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

86371041072 is a wasteful number, since it uses less digits than its factorization.

86371041072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87866 (or 87860 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 86371041072 in words is "eighty-six billion, three hundred seventy-one million, forty-one thousand, seventy-two".