10653393408 has 320 divisors, whose sum is σ = 33672249600. Its totient is φ = 2991292416.

The previous prime is 10653393389. The next prime is 10653393433. The reversal of 10653393408 is 80439335601.

10653393408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10653393408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10653393408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38459766 + ... + 38460042.

It is an arithmetic number, because the mean of its divisors is an integer number (105225780).

Almost surely, 2^10653393408 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 10653393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836124800).

10653393408 is an abundant number, since it is smaller than the sum of its proper divisors (23018856192).

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

10653393408 is an frugal number, since it uses more digits than its factorization.

10653393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10653393408 in words is "ten billion, six hundred fifty-three million, three hundred ninety-three thousand, four hundred eight".