11055011263296 has 448 divisors, whose sum is σ = 40230238519296. Its totient is φ = 2585902694400.

The previous prime is 11055011263291. The next prime is 11055011263313. The reversal of 11055011263296 is 69236211055011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055011263291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7178401 + ... + 8581343.

It is an arithmetic number, because the mean of its divisors is an integer number (89799639552).

Almost surely, 2^{11055011263296} is an apocalyptic number.

11055011263296 is a gapful number since it is divisible by the number (16) 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 11055011263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115119259648).

11055011263296 is an abundant number, since it is smaller than the sum of its proper divisors (29175227256000).

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

11055011263296 is a wasteful number, since it uses less digits than its factorization.

11055011263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403030 (or 1403020 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 11055011263296 in words is "eleven trillion, fifty-five billion, eleven million, two hundred sixty-three thousand, two hundred ninety-six".