11055613632000 has 960 divisors, whose sum is σ = 43154599625280. Its totient is φ = 2503581696000.

The previous prime is 11055613631927. The next prime is 11055613632001. The reversal of 11055613632000 is 23631655011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055613632001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025466610 + ... + 1025477390.

It is an arithmetic number, because the mean of its divisors is an integer number (44952707943).

Almost surely, 2^{11055613632000} is an apocalyptic number.

11055613632000 is a gapful number since it is divisible by the number (10) 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 11055613632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577299812640).

11055613632000 is an abundant number, since it is smaller than the sum of its proper divisors (32098985993280).

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

11055613632000 is a wasteful number, since it uses less digits than its factorization.

11055613632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10940 (or 10907 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 11055613632000 in words is "eleven trillion, fifty-five billion, six hundred thirteen million, six hundred thirty-two thousand".