86357660760 has 672 divisors, whose sum is σ = 356835207600. Its totient is φ = 18694126080.

The previous prime is 86357660731. The next prime is 86357660761. The reversal of 86357660760 is 6706675368.

86357660760 is a `hidden beast` number, since 8 + 6 + 3 + 576 + 6 + 0 + 7 + 60 = 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 = 86357660697 and 86357660706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86357660761) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27146370 + ... + 27149550.

Almost surely, 2^86357660760 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 86357660760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178417603800).

86357660760 is an abundant number, since it is smaller than the sum of its proper divisors (270477546840).

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

86357660760 is a wasteful number, since it uses less digits than its factorization.

86357660760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 86357660760 in words is "eighty-six billion, three hundred fifty-seven million, six hundred sixty thousand, seven hundred sixty".