11088953280064 has 189 divisors, whose sum is σ = 24548207857131. Its totient is φ = 4966240730880.

The previous prime is 11088953280007. The next prime is 11088953280071. The reversal of 11088953280064 is 46008235988011.

It is a happy number.

The square root of 11088953280064 is 3330008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11088953279987 and 11088953280014.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23150215377 + ... + 23150215855.

Almost surely, 2^{11088953280064} is an apocalyptic number.

11088953280064 is the 3330008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11088953280064

11088953280064 is an abundant number, since it is smaller than the sum of its proper divisors (13459254577067).

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

11088953280064 is an frugal number, since it uses more digits than its factorization.

11088953280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 11088953280064 in words is "eleven trillion, eighty-eight billion, nine hundred fifty-three million, two hundred eighty thousand, sixty-four".