11006519537664 has 624 divisors, whose sum is σ = 37585602662400. Its totient is φ = 3036874014720.

The previous prime is 11006519537617. The next prime is 11006519537683. The reversal of 11006519537664 is 46673591560011.

11006519537664 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 519 + 53 + 76 + 6 + 4 = 666.

It is a super-2 number, since 2×11006519537664² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006519537664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4791692164 + ... + 4791694460.

It is an arithmetic number, because the mean of its divisors is an integer number (60233337600).

Almost surely, 2^{11006519537664} is an apocalyptic number.

11006519537664 is a gapful number since it is divisible by the number (14) 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 11006519537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792801331200).

11006519537664 is an abundant number, since it is smaller than the sum of its proper divisors (26579083124736).

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

11006519537664 is a wasteful number, since it uses less digits than its factorization.

11006519537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 11006519537664 in words is "eleven trillion, six billion, five hundred nineteen million, five hundred thirty-seven thousand, six hundred sixty-four".