86938065360 has 120 divisors (see below), whose sum is σ = 295662981120. Its totient is φ = 22890007296.

The previous prime is 86938065359. The next prime is 86938065371. The reversal of 86938065360 is 6356083968.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 86938065297 and 86938065306.

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 23 ways as a sum of consecutive naturals, for example, 707344 + ... + 821103.

It is an arithmetic number, because the mean of its divisors is an integer number (2463858176).

Almost surely, 2^86938065360 is an apocalyptic number.

86938065360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86938065360 is an abundant number, since it is smaller than the sum of its proper divisors (208724915760).

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

86938065360 is a wasteful number, since it uses less digits than its factorization.

86938065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528545 (or 1528536 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 86938065360 in words is "eighty-six billion, nine hundred thirty-eight million, sixty-five thousand, three hundred sixty".