86769296768 has 128 divisors (see below), whose sum is σ = 219049194240. Its totient is φ = 33251788800.

The previous prime is 86769296759. The next prime is 86769296807.

It is a happy number.

86769296768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86769296768² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86769296695 and 86769296704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529055 + ... + 673377.

It is an arithmetic number, because the mean of its divisors is an integer number (1711321830).

Almost surely, 2^86769296768 is an apocalyptic number.

86769296768 is a gapful number since it is divisible by the number (88) 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 86769296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109524597120).

86769296768 is an abundant number, since it is smaller than the sum of its proper divisors (132279897472).

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

86769296768 is a wasteful number, since it uses less digits than its factorization.

86769296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144416 (or 144404 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 74.

The spelling of 86769296768 in words is "eighty-six billion, seven hundred sixty-nine million, two hundred ninety-six thousand, seven hundred sixty-eight".