86226312576 has 128 divisors (see below), whose sum is σ = 240719673600. Its totient is φ = 27294271488.

The previous prime is 86226312559. The next prime is 86226312577. The reversal of 86226312576 is 67521362268.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86226312577) 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, 1192530 + ... + 1262766.

It is an arithmetic number, because the mean of its divisors is an integer number (1880622450).

Almost surely, 2^86226312576 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 86226312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120359836800).

86226312576 is an abundant number, since it is smaller than the sum of its proper divisors (154493361024).

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

86226312576 is a wasteful number, since it uses less digits than its factorization.

86226312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70416 (or 70404 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 86226312576 in words is "eighty-six billion, two hundred twenty-six million, three hundred twelve thousand, five hundred seventy-six".