11215072655104 has 72 divisors (see below), whose sum is σ = 22550015517680. Its totient is φ = 5566545911808.

The previous prime is 11215072655089. The next prime is 11215072655107. The reversal of 11215072655104 is 40155627051211.

It is a happy number.

11215072655104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11215072655104³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11215072655107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487240204 + ... + 487263220.

Almost surely, 2^{11215072655104} 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 11215072655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275007758840).

11215072655104 is an abundant number, since it is smaller than the sum of its proper divisors (11334942862576).

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

11215072655104 is a wasteful number, since it uses less digits than its factorization.

11215072655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36865 (or 36851 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 11215072655104 in words is "eleven trillion, two hundred fifteen billion, seventy-two million, six hundred fifty-five thousand, one hundred four".