86653942320 has 320 divisors, whose sum is σ = 296141474304. Its totient is φ = 20786626560.

The previous prime is 86653942273. The next prime is 86653942327. The reversal of 86653942320 is 2324935668.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86653942320.

It is not an unprimeable number, because it can be changed into a prime (86653942327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 153914359 + ... + 153914921.

Almost surely, 2^86653942320 is an apocalyptic number.

86653942320 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 86653942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070737152).

86653942320 is an abundant number, since it is smaller than the sum of its proper divisors (209487531984).

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

86653942320 is a wasteful number, since it uses less digits than its factorization.

86653942320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 86653942320 in words is "eighty-six billion, six hundred fifty-three million, nine hundred forty-two thousand, three hundred twenty".