11089554981120 has 3456 divisors, whose sum is σ = 52780174540800. Its totient is φ = 2152058388480.

The previous prime is 11089554981091. The next prime is 11089554981137. The reversal of 11089554981120 is 2118945598011.

11089554981120 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 9 + 5 + 549 + 81 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 70634108082 + ... + 70634108238.

Almost surely, 2^{11089554981120} is an apocalyptic number.

11089554981120 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 11089554981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390087270400).

11089554981120 is an abundant number, since it is smaller than the sum of its proper divisors (41690619559680).

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

11089554981120 is a wasteful number, since it uses less digits than its factorization.

11089554981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 11089554981120 in words is "eleven trillion, eighty-nine billion, five hundred fifty-four million, nine hundred eighty-one thousand, one hundred twenty".