11052121554432 has 1440 divisors, whose sum is σ = 40788496869120. Its totient is φ = 2812558049280.

The previous prime is 11052121554379. The next prime is 11052121554479. The reversal of 11052121554432 is 23445512125011.

11052121554432 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 2 + 1 + 215 + 5 + 4 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21132163323 + ... + 21132163845.

It is an arithmetic number, because the mean of its divisors is an integer number (28325345048).

Almost surely, 2^{11052121554432} is an apocalyptic number.

11052121554432 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 11052121554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394248434560).

11052121554432 is an abundant number, since it is smaller than the sum of its proper divisors (29736375314688).

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

11052121554432 is a wasteful number, since it uses less digits than its factorization.

11052121554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 11052121554432 its reverse (23445512125011), we get a palindrome (34497633679443).

The spelling of 11052121554432 in words is "eleven trillion, fifty-two billion, one hundred twenty-one million, five hundred fifty-four thousand, four hundred thirty-two".