86228867760 has 160 divisors (see below), whose sum is σ = 305635438080. Its totient is φ = 19700496384.

The previous prime is 86228867737. The next prime is 86228867773. The reversal of 86228867760 is 6776882268.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 86228867694 and 86228867703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120684 + ... + 4141556.

It is an arithmetic number, because the mean of its divisors is an integer number (1910221488).

Almost surely, 2^86228867760 is an apocalyptic number.

86228867760 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 86228867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152817719040).

86228867760 is an abundant number, since it is smaller than the sum of its proper divisors (219406570320).

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

86228867760 is a wasteful number, since it uses less digits than its factorization.

86228867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23355 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 86228867760 in words is "eighty-six billion, two hundred twenty-eight million, eight hundred sixty-seven thousand, seven hundred sixty".