10169440512 has 288 divisors, whose sum is σ = 33907507200. Its totient is φ = 2628648960.

The previous prime is 10169440507. The next prime is 10169440513. The reversal of 10169440512 is 21504496101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10169440513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22648864 + ... + 22649312.

It is an arithmetic number, because the mean of its divisors is an integer number (117734400).

Almost surely, 2^10169440512 is an apocalyptic number.

10169440512 is a gapful number since it is divisible by the number (12) 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 10169440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953753600).

10169440512 is an abundant number, since it is smaller than the sum of its proper divisors (23738066688).

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

10169440512 is a wasteful number, since it uses less digits than its factorization.

10169440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10169440512 in words is "ten billion, one hundred sixty-nine million, four hundred forty thousand, five hundred twelve".