86423369760 has 864 divisors, whose sum is σ = 374945905152. Its totient is φ = 17964011520.

The previous prime is 86423369759. The next prime is 86423369789. The reversal of 86423369760 is 6796332468.

It is a junction number, because it is equal to n+sod(n) for n = 86423369697 and 86423369706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65126217 + ... + 65127543.

It is an arithmetic number, because the mean of its divisors is an integer number (433965168).

Almost surely, 2^86423369760 is an apocalyptic number.

86423369760 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 86423369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187472952576).

86423369760 is an abundant number, since it is smaller than the sum of its proper divisors (288522535392).

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

86423369760 is a wasteful number, since it uses less digits than its factorization.

86423369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 86423369760 in words is "eighty-six billion, four hundred twenty-three million, three hundred sixty-nine thousand, seven hundred sixty".