10817431680 has 256 divisors, whose sum is σ = 37852738560. Its totient is φ = 2605854720.

The previous prime is 10817431673. The next prime is 10817431693. The reversal of 10817431680 is 8613471801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525507 + ... + 3528573.

It is an arithmetic number, because the mean of its divisors is an integer number (147862260).

Almost surely, 2^10817431680 is an apocalyptic number.

10817431680 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 10817431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926369280).

10817431680 is an abundant number, since it is smaller than the sum of its proper divisors (27035306880).

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

10817431680 is a wasteful number, since it uses less digits than its factorization.

10817431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10817431680 in words is "ten billion, eight hundred seventeen million, four hundred thirty-one thousand, six hundred eighty".