10665909057408 has 256 divisors, whose sum is σ = 31794967895040. Its totient is φ = 3140227727360.

The previous prime is 10665909057373. The next prime is 10665909057409. The reversal of 10665909057408 is 80475090956601.

10665909057408 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 2×10665909057408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665909057409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27002260 + ... + 27394412.

It is an arithmetic number, because the mean of its divisors is an integer number (124199093340).

Almost surely, 2^{10665909057408} 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 10665909057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897483947520).

10665909057408 is an abundant number, since it is smaller than the sum of its proper divisors (21129058837632).

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

10665909057408 is a wasteful number, since it uses less digits than its factorization.

10665909057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392365 (or 392353 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 10665909057408 in words is "ten trillion, six hundred sixty-five billion, nine hundred nine million, fifty-seven thousand, four hundred eight".