86535466640 has 80 divisors (see below), whose sum is σ = 230486497920. Its totient is φ = 29598412800.

The previous prime is 86535466637. The next prime is 86535466669. The reversal of 86535466640 is 4666453568.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50240 + ... + 419040.

It is an arithmetic number, because the mean of its divisors is an integer number (2881081224).

Almost surely, 2^86535466640 is an apocalyptic number.

86535466640 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 86535466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115243248960).

86535466640 is an abundant number, since it is smaller than the sum of its proper divisors (143951031280).

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

86535466640 is a wasteful number, since it uses less digits than its factorization.

86535466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369240 (or 369234 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

The spelling of 86535466640 in words is "eighty-six billion, five hundred thirty-five million, four hundred sixty-six thousand, six hundred forty".