10605264384 has 320 divisors, whose sum is σ = 33855833088. Its totient is φ = 2907340800.

The previous prime is 10605264353. The next prime is 10605264433. The reversal of 10605264384 is 48346250601.

It is a super-2 number, since 2×10605264384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11640889 + ... + 11641799.

Almost surely, 2^10605264384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927916544).

10605264384 is an abundant number, since it is smaller than the sum of its proper divisors (23250568704).

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

10605264384 is a wasteful number, since it uses less digits than its factorization.

10605264384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 10605264384 in words is "ten billion, six hundred five million, two hundred sixty-four thousand, three hundred eighty-four".