11055032593920 has 2880 divisors, whose sum is σ = 49160483349120. Its totient is φ = 2281359015936.

The previous prime is 11055032593859. The next prime is 11055032593931. The reversal of 11055032593920 is 2939523055011.

11055032593920 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 5 + 0 + 3 + 259 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 39909864822 + ... + 39909865098.

It is an arithmetic number, because the mean of its divisors is an integer number (17069612274).

Almost surely, 2^{11055032593920} is an apocalyptic number.

11055032593920 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 11055032593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24580241674560).

11055032593920 is an abundant number, since it is smaller than the sum of its proper divisors (38105450755200).

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

11055032593920 is a wasteful number, since it uses less digits than its factorization.

11055032593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 11055032593920 in words is "eleven trillion, fifty-five billion, thirty-two million, five hundred ninety-three thousand, nine hundred twenty".