86101964256 has 288 divisors, whose sum is σ = 287489139840. Its totient is φ = 22312012800.

The previous prime is 86101964237. The next prime is 86101964297. The reversal of 86101964256 is 65246910168.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25404610 + ... + 25407998.

It is an arithmetic number, because the mean of its divisors is an integer number (998226180).

Almost surely, 2^86101964256 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 86101964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143744569920).

86101964256 is an abundant number, since it is smaller than the sum of its proper divisors (201387175584).

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

86101964256 is a wasteful number, since it uses less digits than its factorization.

86101964256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 86101964256 in words is "eighty-six billion, one hundred one million, nine hundred sixty-four thousand, two hundred fifty-six".