10662660265104 has 640 divisors, whose sum is σ = 34542971251200. Its totient is φ = 3133053665280.

The previous prime is 10662660265097. The next prime is 10662660265111. The reversal of 10662660265104 is 40156206626601.

10662660265104 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 26 + 602 + 6 + 5 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10662660265097) and next prime (10662660265111).

It is a super-2 number, since 2×10662660265104² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10662660265104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 948376507 + ... + 948387749.

It is an arithmetic number, because the mean of its divisors is an integer number (53973392580).

Almost surely, 2^{10662660265104} 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 10662660265104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271485625600).

10662660265104 is an abundant number, since it is smaller than the sum of its proper divisors (23880310986096).

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

10662660265104 is a wasteful number, since it uses less digits than its factorization.

10662660265104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10662660265104 in words is "ten trillion, six hundred sixty-two billion, six hundred sixty million, two hundred sixty-five thousand, one hundred four".