86449958068320 has 288 divisors, whose sum is σ = 367805276616960. Its totient is φ = 17963627627520.

The previous prime is 86449958068319. The next prime is 86449958068321. The reversal of 86449958068320 is 2386085994468.

It is a happy number.

86449958068320 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 9 + 9 + 580 + 6 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86449958068319) and next prime (86449958068321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86449958068321) 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, 389724790 + ... + 389946549.

It is an arithmetic number, because the mean of its divisors is an integer number (1277101654920).

Almost surely, 2^{86449958068320} is an apocalyptic number.

86449958068320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86449958068320 is an abundant number, since it is smaller than the sum of its proper divisors (281355318548640).

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

86449958068320 is a wasteful number, since it uses less digits than its factorization.

86449958068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779671378 (or 779671367 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 86449958068320 in words is "eighty-six trillion, four hundred forty-nine billion, nine hundred fifty-eight million, sixty-eight thousand, three hundred twenty".