11075963539680 has 768 divisors, whose sum is σ = 46125607127040. Its totient is φ = 2454444343296.

The previous prime is 11075963539649. The next prime is 11075963539783. The reversal of 11075963539680 is 8693536957011.

11075963539680 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 96 + 3 + 539 + 6 + 8 + 0 = 666.

It is a congruent number.

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, 21706359 + ... + 22210761.

It is an arithmetic number, because the mean of its divisors is an integer number (60059384280).

Almost surely, 2^{11075963539680} is an apocalyptic number.

11075963539680 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 11075963539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23062803563520).

11075963539680 is an abundant number, since it is smaller than the sum of its proper divisors (35049643587360).

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

11075963539680 is a wasteful number, since it uses less digits than its factorization.

11075963539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504480 (or 504466 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 11075963539680 in words is "eleven trillion, seventy-five billion, nine hundred sixty-three million, five hundred thirty-nine thousand, six hundred eighty".