10653074432 has 352 divisors, whose sum is σ = 30152801280. Its totient is φ = 3622993920.

The previous prime is 10653074423. The next prime is 10653074459. The reversal of 10653074432 is 23447035601.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×10653074432² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10653074392 and 10653074401.

It is an unprimeable number.

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, 19475183 + ... + 19475729.

Almost surely, 2^10653074432 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 10653074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076400640).

10653074432 is an abundant number, since it is smaller than the sum of its proper divisors (19499726848).

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

10653074432 is a wasteful number, since it uses less digits than its factorization.

10653074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 10653074432 in words is "ten billion, six hundred fifty-three million, seventy-four thousand, four hundred thirty-two".