86401219968 has 896 divisors, whose sum is σ = 323648317440. Its totient is φ = 22394880000.

The previous prime is 86401219939. The next prime is 86401219997. The reversal of 86401219968 is 86991210468.

It is an interprime number because it is at equal distance from previous prime (86401219939) and next prime (86401219997).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 344227843 + ... + 344228093.

It is an arithmetic number, because the mean of its divisors is an integer number (361214640).

Almost surely, 2^86401219968 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 86401219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161824158720).

86401219968 is an abundant number, since it is smaller than the sum of its proper divisors (237247097472).

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

86401219968 is a wasteful number, since it uses less digits than its factorization.

86401219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 86401219968 in words is "eighty-six billion, four hundred one million, two hundred nineteen thousand, nine hundred sixty-eight".