10661348841680 has 40 divisors (see below), whose sum is σ = 25865359368192. Its totient is φ = 4079124773504.

The previous prime is 10661348841641. The next prime is 10661348841743. The reversal of 10661348841680 is 8614884316601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10661348841680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2897103824 + ... + 2897107503.

Almost surely, 2^{10661348841680} is an apocalyptic number.

10661348841680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10661348841680 is an abundant number, since it is smaller than the sum of its proper divisors (15204010526512).

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

10661348841680 is a wasteful number, since it uses less digits than its factorization.

10661348841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794211363 (or 5794211357 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 10661348841680 in words is "ten trillion, six hundred sixty-one billion, three hundred forty-eight million, eight hundred forty-one thousand, six hundred eighty".