86502021120 has 768 divisors, whose sum is σ = 327579033600. Its totient is φ = 21605253120.

The previous prime is 86502021119. The next prime is 86502021163. The reversal of 86502021120 is 2112020568.

It is a happy number.

86502021120 is a `hidden beast` number, since 8 + 650 + 2 + 0 + 2 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387901329 + ... + 387901551.

It is an arithmetic number, because the mean of its divisors is an integer number (426535200).

Almost surely, 2^86502021120 is an apocalyptic number.

86502021120 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 86502021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163789516800).

86502021120 is an abundant number, since it is smaller than the sum of its proper divisors (241077012480).

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

86502021120 is a wasteful number, since it uses less digits than its factorization.

86502021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 86502021120 its reverse (2112020568), we get a palindrome (88614041688).

The spelling of 86502021120 in words is "eighty-six billion, five hundred two million, twenty-one thousand, one hundred twenty".