10501664232 has 96 divisors (see below), whose sum is σ = 27106236000. Its totient is φ = 3390312960.

The previous prime is 10501664209. The next prime is 10501664267. The reversal of 10501664232 is 23246610501.

It is a super-2 number, since 2×10501664232² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10501664232.

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 23 ways as a sum of consecutive naturals, for example, 6010383 + ... + 6012129.

It is an arithmetic number, because the mean of its divisors is an integer number (282356625).

Almost surely, 2^10501664232 is an apocalyptic number.

10501664232 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 10501664232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553118000).

10501664232 is an abundant number, since it is smaller than the sum of its proper divisors (16604571768).

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

10501664232 is a wasteful number, since it uses less digits than its factorization.

10501664232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10501664232 in words is "ten billion, five hundred one million, six hundred sixty-four thousand, two hundred thirty-two".