86981319360 has 336 divisors, whose sum is σ = 333307578240. Its totient is φ = 20672225280.

The previous prime is 86981319329. The next prime is 86981319367. The reversal of 86981319360 is 6391318968.

It is a junction number, because it is equal to n+sod(n) for n = 86981319297 and 86981319306.

It is not an unprimeable number, because it can be changed into a prime (86981319367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045705 + ... + 1125815.

It is an arithmetic number, because the mean of its divisors is an integer number (991986840).

Almost surely, 2^86981319360 is an apocalyptic number.

86981319360 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 86981319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166653789120).

86981319360 is an abundant number, since it is smaller than the sum of its proper divisors (246326258880).

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

86981319360 is a wasteful number, since it uses less digits than its factorization.

86981319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80176 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 86981319360 in words is "eighty-six billion, nine hundred eighty-one million, three hundred nineteen thousand, three hundred sixty".