10168882480 has 160 divisors (see below), whose sum is σ = 25089019200. Its totient is φ = 3827367936.

The previous prime is 10168882463. The next prime is 10168882483. The reversal of 10168882480 is 8428886101.

It is a self number, because there is not a number n which added to its sum of digits gives 10168882480.

It is not an unprimeable number, because it can be changed into a prime (10168882483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16427611 + ... + 16428229.

It is an arithmetic number, because the mean of its divisors is an integer number (156806370).

Almost surely, 2^10168882480 is an apocalyptic number.

10168882480 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 10168882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544509600).

10168882480 is an abundant number, since it is smaller than the sum of its proper divisors (14920136720).

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

10168882480 is a wasteful number, since it uses less digits than its factorization.

10168882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 46.

The spelling of 10168882480 in words is "ten billion, one hundred sixty-eight million, eight hundred eighty-two thousand, four hundred eighty".