10467859968 has 120 divisors (see below), whose sum is σ = 30443326056. Its totient is φ = 3462451200.

The previous prime is 10467859957. The next prime is 10467860071. The reversal of 10467859968 is 86995876401.

10467859968 is a `hidden beast` number, since 1 + 0 + 467 + 85 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×10467859968² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 594978 + ... + 612318.

Almost surely, 2^10467859968 is an apocalyptic number.

10467859968 is a gapful number since it is divisible by the number (18) 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 10467859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221663028).

10467859968 is an abundant number, since it is smaller than the sum of its proper divisors (19975466088).

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

10467859968 is a wasteful number, since it uses less digits than its factorization.

10467859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17496 (or 17477 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10467859968 in words is "ten billion, four hundred sixty-seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".