86795497560 has 256 divisors, whose sum is σ = 272272896000. Its totient is φ = 22110382080.

The previous prime is 86795497543. The next prime is 86795497561. The reversal of 86795497560 is 6579459768.

It is a junction number, because it is equal to n+sod(n) for n = 86795497491 and 86795497500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86795497561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118410954 + ... + 118411686.

It is an arithmetic number, because the mean of its divisors is an integer number (1063566000).

Almost surely, 2^86795497560 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 86795497560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136136448000).

86795497560 is an abundant number, since it is smaller than the sum of its proper divisors (185477398440).

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

86795497560 is a wasteful number, since it uses less digits than its factorization.

86795497560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 86795497560 in words is "eighty-six billion, seven hundred ninety-five million, four hundred ninety-seven thousand, five hundred sixty".