86035522419280 has 480 divisors, whose sum is σ = 246551581188864. Its totient is φ = 27324251136000.

The previous prime is 86035522419271. The next prime is 86035522419283. The reversal of 86035522419280 is 8291422553068.

It is a super-2 number, since 2×86035522419280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86035522419283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1169384895 + ... + 1169458465.

Almost surely, 2^{86035522419280} is an apocalyptic number.

86035522419280 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 86035522419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123275790594432).

86035522419280 is an abundant number, since it is smaller than the sum of its proper divisors (160516058769584).

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

86035522419280 is a wasteful number, since it uses less digits than its factorization.

86035522419280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73747 (or 73710 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 86035522419280 in words is "eighty-six trillion, thirty-five billion, five hundred twenty-two million, four hundred nineteen thousand, two hundred eighty".