10664629612560 has 960 divisors, whose sum is σ = 47321950201344. Its totient is φ = 2083803955200.

The previous prime is 10664629612499. The next prime is 10664629612607. The reversal of 10664629612560 is 6521692646601.

10664629612560 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 62 + 9 + 6 + 12 + 560 = 666.

It is a super-2 number, since 2×10664629612560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10664629612497 and 10664629612506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1203542530 + ... + 1203551390.

Almost surely, 2^{10664629612560} is an apocalyptic number.

10664629612560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664629612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660975100672).

10664629612560 is an abundant number, since it is smaller than the sum of its proper divisors (36657320588784).

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

10664629612560 is a wasteful number, since it uses less digits than its factorization.

10664629612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 10664629612560 in words is "ten trillion, six hundred sixty-four billion, six hundred twenty-nine million, six hundred twelve thousand, five hundred sixty".