86617932336 has 480 divisors, whose sum is σ = 290493907200. Its totient is φ = 24616949760.

The previous prime is 86617932329. The next prime is 86617932367. The reversal of 86617932336 is 63323971668.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56872471 + ... + 56873993.

It is an arithmetic number, because the mean of its divisors is an integer number (605195640).

Almost surely, 2^86617932336 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 86617932336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145246953600).

86617932336 is an abundant number, since it is smaller than the sum of its proper divisors (203875974864).

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

86617932336 is a wasteful number, since it uses less digits than its factorization.

86617932336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1601 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 86617932336 in words is "eighty-six billion, six hundred seventeen million, nine hundred thirty-two thousand, three hundred thirty-six".