86103624879360 has 720 divisors, whose sum is σ = 350716393399680. Its totient is φ = 19966051860480.

The previous prime is 86103624879359. The next prime is 86103624879473. The reversal of 86103624879360 is 6397842630168.

86103624879360 is a `hidden beast` number, since 8 + 6 + 1 + 0 + 3 + 6 + 2 + 487 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24589786 + ... + 27872294.

It is an arithmetic number, because the mean of its divisors is an integer number (487106101944).

Almost surely, 2^{86103624879360} is an apocalyptic number.

86103624879360 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 86103624879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175358196699840).

86103624879360 is an abundant number, since it is smaller than the sum of its proper divisors (264612768520320).

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

86103624879360 is a wasteful number, since it uses less digits than its factorization.

86103624879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282576 (or 3282553 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 86103624879360 in words is "eighty-six trillion, one hundred three billion, six hundred twenty-four million, eight hundred seventy-nine thousand, three hundred sixty".