11155695056352 has 1728 divisors, whose sum is σ = 44900336819520. Its totient is φ = 2674574622720.

The previous prime is 11155695056351. The next prime is 11155695056357. The reversal of 11155695056352 is 25365059655111.

11155695056352 is a `hidden beast` number, since 1 + 1 + 1 + 556 + 9 + 5 + 0 + 56 + 35 + 2 = 666.

11155695056352 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155695056351) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4615511848 + ... + 4615514264.

It is an arithmetic number, because the mean of its divisors is an integer number (25983991215).

Almost surely, 2^{11155695056352} is an apocalyptic number.

11155695056352 is a gapful number since it is divisible by the number (12) 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 11155695056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450168409760).

11155695056352 is an abundant number, since it is smaller than the sum of its proper divisors (33744641763168).

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

11155695056352 is a wasteful number, since it uses less digits than its factorization.

11155695056352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 6075000, while the sum is 54.

The spelling of 11155695056352 in words is "eleven trillion, one hundred fifty-five billion, six hundred ninety-five million, fifty-six thousand, three hundred fifty-two".