86891840123088 has 640 divisors, whose sum is σ = 316171363737600. Its totient is φ = 19831491993600.

The previous prime is 86891840123069. The next prime is 86891840123093. The reversal of 86891840123088 is 88032104819868.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98491678 + ... + 99369986.

It is an arithmetic number, because the mean of its divisors is an integer number (494017755840).

Almost surely, 2^{86891840123088} is an apocalyptic number.

86891840123088 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 86891840123088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158085681868800).

86891840123088 is an abundant number, since it is smaller than the sum of its proper divisors (229279523614512).

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

86891840123088 is a wasteful number, since it uses less digits than its factorization.

86891840123088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878451 (or 878445 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 66.

The spelling of 86891840123088 in words is "eighty-six trillion, eight hundred ninety-one billion, eight hundred forty million, one hundred twenty-three thousand, eighty-eight".