10501664712 has 288 divisors, whose sum is σ = 34299508320. Its totient is φ = 2649507840.

The previous prime is 10501664659. The next prime is 10501664713. The reversal of 10501664712 is 21746610501.

It is a super-2 number, since 2×10501664712² (a number of 21 digits) contains 22 as substring.

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 (10501664713) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 17709088 + ... + 17709680.

It is an arithmetic number, because the mean of its divisors is an integer number (119095515).

Almost surely, 2^10501664712 is an apocalyptic number.

10501664712 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 10501664712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17149754160).

10501664712 is an abundant number, since it is smaller than the sum of its proper divisors (23797843608).

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

10501664712 is a wasteful number, since it uses less digits than its factorization.

10501664712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

It can be divided in two parts, 1050166 and 4712, that added together give a triangular number (1054878 = T₁₄₅₂).

The spelling of 10501664712 in words is "ten billion, five hundred one million, six hundred sixty-four thousand, seven hundred twelve".