86194338667560 has 384 divisors, whose sum is σ = 287337973104000. Its totient is φ = 22401878704128.

The previous prime is 86194338667517. The next prime is 86194338667589. The reversal of 86194338667560 is 6576683349168.

86194338667560 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 433 + 8 + 66 + 75 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550815851 + ... + 1550871429.

It is an arithmetic number, because the mean of its divisors is an integer number (748275971625).

Almost surely, 2^{86194338667560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86194338667560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143668986552000).

86194338667560 is an abundant number, since it is smaller than the sum of its proper divisors (201143634436440).

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

86194338667560 is a wasteful number, since it uses less digits than its factorization.

86194338667560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56345 (or 56338 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 86194338667560 in words is "eighty-six trillion, one hundred ninety-four billion, three hundred thirty-eight million, six hundred sixty-seven thousand, five hundred sixty".