11285620256664 has 640 divisors, whose sum is σ = 35728883097600. Its totient is φ = 3304510110720.

The previous prime is 11285620256657. The next prime is 11285620256681. The reversal of 11285620256664 is 46665202658211.

11285620256664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11285620256664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5838395442 + ... + 5838397374.

It is an arithmetic number, because the mean of its divisors is an integer number (55826379840).

Almost surely, 2^{11285620256664} 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 11285620256664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864441548800).

11285620256664 is an abundant number, since it is smaller than the sum of its proper divisors (24443262840936).

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

11285620256664 is a wasteful number, since it uses less digits than its factorization.

11285620256664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 11285620256664 in words is "eleven trillion, two hundred eighty-five billion, six hundred twenty million, two hundred fifty-six thousand, six hundred sixty-four".