86288070960 has 1920 divisors, whose sum is σ = 409307136000. Its totient is φ = 16582164480.

The previous prime is 86288070959. The next prime is 86288071007. The reversal of 86288070960 is 6907088268.

86288070960 is a `hidden beast` number, since 8 + 628 + 8 + 0 + 7 + 0 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86288070897 and 86288070906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2783486145 + ... + 2783486175.

It is an arithmetic number, because the mean of its divisors is an integer number (213180800).

Almost surely, 2^86288070960 is an apocalyptic number.

86288070960 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 86288070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204653568000).

86288070960 is an abundant number, since it is smaller than the sum of its proper divisors (323019065040).

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

86288070960 is a wasteful number, since it uses less digits than its factorization.

86288070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 86288070960 in words is "eighty-six billion, two hundred eighty-eight million, seventy thousand, nine hundred sixty".