86829049795968 has 448 divisors, whose sum is σ = 265779413203200. Its totient is φ = 28234015755264.

The previous prime is 86829049795927. The next prime is 86829049796009. The reversal of 86829049795968 is 86959794092868.

86829049795968 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 9 + 0 + 4 + 9 + 7 + 9 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86829049795927) and next prime (86829049796009).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 643878693 + ... + 644013531.

Almost surely, 2^{86829049795968} 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 86829049795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132889706601600).

86829049795968 is an abundant number, since it is smaller than the sum of its proper divisors (178950363407232).

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

86829049795968 is a wasteful number, since it uses less digits than its factorization.

86829049795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135041 (or 135014 counting only the distinct ones).

The product of its (nonzero) digits is 33861058560, while the sum is 90.

The spelling of 86829049795968 in words is "eighty-six trillion, eight hundred twenty-nine billion, forty-nine million, seven hundred ninety-five thousand, nine hundred sixty-eight".