10327417086960 has 240 divisors, whose sum is σ = 34912929804480. Its totient is φ = 2735734394880.

The previous prime is 10327417086941. The next prime is 10327417087019. The reversal of 10327417086960 is 6968071472301.

10327417086960 is a `hidden beast` number, since 10 + 327 + 4 + 170 + 86 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 10327417086897 and 10327417086906.

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 47 ways as a sum of consecutive naturals, for example, 193439470 + ... + 193492850.

It is an arithmetic number, because the mean of its divisors is an integer number (145470540852).

Almost surely, 2^{10327417086960} is an apocalyptic number.

10327417086960 is a gapful number since it is divisible by the number (10) 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 10327417086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456464902240).

10327417086960 is an abundant number, since it is smaller than the sum of its proper divisors (24585512717520).

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

10327417086960 is a wasteful number, since it uses less digits than its factorization.

10327417086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55176 (or 55167 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10327417086960 in words is "ten trillion, three hundred twenty-seven billion, four hundred seventeen million, eighty-six thousand, nine hundred sixty".