86103431568 has 300 divisors, whose sum is σ = 313059060160. Its totient is φ = 22364242560.

The previous prime is 86103431497. The next prime is 86103431569. The reversal of 86103431568 is 86513430168.

86103431568 is a `hidden beast` number, since 86 + 1 + 0 + 3 + 4 + 3 + 1 + 568 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86103431569) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1058493 + ... + 1136931.

Almost surely, 2^86103431568 is an apocalyptic number.

86103431568 is a gapful number since it is divisible by the number (88) 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 86103431568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156529530080).

86103431568 is an abundant number, since it is smaller than the sum of its proper divisors (226955628592).

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

86103431568 is a wasteful number, since it uses less digits than its factorization.

86103431568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78488 (or 78462 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 86103431568 in words is "eighty-six billion, one hundred three million, four hundred thirty-one thousand, five hundred sixty-eight".