11093680066560 has 1664 divisors, whose sum is σ = 48698983710720. Its totient is φ = 2086674628608.

The previous prime is 11093680066507. The next prime is 11093680066571. The reversal of 11093680066560 is 6566008639011.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1805902849 + ... + 1805908991.

Almost surely, 2^{11093680066560} is an apocalyptic number.

11093680066560 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 11093680066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24349491855360).

11093680066560 is an abundant number, since it is smaller than the sum of its proper divisors (37605303644160).

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

11093680066560 is a wasteful number, since it uses less digits than its factorization.

11093680066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 11093680066560 in words is "eleven trillion, ninety-three billion, six hundred eighty million, sixty-six thousand, five hundred sixty".