86683020289920 has 640 divisors, whose sum is σ = 320844759760800. Its totient is φ = 22284338872320.

The previous prime is 86683020289861. The next prime is 86683020289951. The reversal of 86683020289920 is 2998202038668.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 208863415 + ... + 209278025.

Almost surely, 2^{86683020289920} is an apocalyptic number.

86683020289920 is a gapful number since it is divisible by the number (80) 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 86683020289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160422379880400).

86683020289920 is an abundant number, since it is smaller than the sum of its proper divisors (234161739470880).

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

86683020289920 is a wasteful number, since it uses less digits than its factorization.

86683020289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414788 (or 414767 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 86683020289920 in words is "eighty-six trillion, six hundred eighty-three billion, twenty million, two hundred eighty-nine thousand, nine hundred twenty".