11011702814640 has 480 divisors, whose sum is σ = 42321874083840. Its totient is φ = 2541145958400.

The previous prime is 11011702814633. The next prime is 11011702814657. The reversal of 11011702814640 is 4641820711011.

It is a happy number.

11011702814640 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 7 + 0 + 2 + 8 + 1 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11011702814595 and 11011702814604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15969649 + ... + 16644911.

It is an arithmetic number, because the mean of its divisors is an integer number (88170571008).

Almost surely, 2^{11011702814640} is an apocalyptic number.

11011702814640 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 11011702814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21160937041920).

11011702814640 is an abundant number, since it is smaller than the sum of its proper divisors (31310171269200).

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

11011702814640 is a wasteful number, since it uses less digits than its factorization.

11011702814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675393 (or 675384 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11011702814640 in words is "eleven trillion, eleven billion, seven hundred two million, eight hundred fourteen thousand, six hundred forty".