86355310048640 has 32 divisors (see below), whose sum is σ = 206443163086560. Its totient is φ = 34542124019200.

The previous prime is 86355310048603. The next prime is 86355310048661. The reversal of 86355310048640 is 4684001355368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67465085336 + ... + 67465086615.

It is an arithmetic number, because the mean of its divisors is an integer number (6451348846455).

Almost surely, 2^{86355310048640} is an apocalyptic number.

86355310048640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86355310048640 is an abundant number, since it is smaller than the sum of its proper divisors (120087853037920).

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

86355310048640 is a wasteful number, since it uses less digits than its factorization.

86355310048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134930171970 (or 134930171958 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 53.

The spelling of 86355310048640 in words is "eighty-six trillion, three hundred fifty-five billion, three hundred ten million, forty-eight thousand, six hundred forty".