11206655057664 has 1728 divisors, whose sum is σ = 40112581017600. Its totient is φ = 3082252124160.

The previous prime is 11206655057651. The next prime is 11206655057821. The reversal of 11206655057664 is 46675055660211.

11206655057664 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 6 + 5 + 5 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×11206655057664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11206655057664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56314849437 + ... + 56314849635.

It is an arithmetic number, because the mean of its divisors is an integer number (23213299200).

Almost surely, 2^{11206655057664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11206655057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056290508800).

11206655057664 is an abundant number, since it is smaller than the sum of its proper divisors (28905925959936).

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

11206655057664 is a wasteful number, since it uses less digits than its factorization.

11206655057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 11206655057664 in words is "eleven trillion, two hundred six billion, six hundred fifty-five million, fifty-seven thousand, six hundred sixty-four".