86220767790 has 256 divisors, whose sum is σ = 253191536640. Its totient is φ = 20784107520.

The previous prime is 86220767783. The next prime is 86220767791. The reversal of 86220767790 is 9776702268.

86220767790 is a `hidden beast` number, since 8 + 622 + 0 + 7 + 6 + 7 + 7 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86220767791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19491519 + ... + 19495941.

It is an arithmetic number, because the mean of its divisors is an integer number (989029440).

Almost surely, 2^86220767790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86220767790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126595768320).

86220767790 is an abundant number, since it is smaller than the sum of its proper divisors (166970768850).

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

86220767790 is a wasteful number, since it uses less digits than its factorization.

86220767790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 86220767790 in words is "eighty-six billion, two hundred twenty million, seven hundred sixty-seven thousand, seven hundred ninety".