11090131279920 has 960 divisors, whose sum is σ = 49534136279040. Its totient is φ = 2230094592000.

The previous prime is 11090131279853. The next prime is 11090131279933. The reversal of 11090131279920 is 2997213109011.

It is a happy number.

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

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 191 ways as a sum of consecutive naturals, for example, 56617350 + ... + 56812890.

It is an arithmetic number, because the mean of its divisors is an integer number (51598058624).

Almost surely, 2^{11090131279920} is an apocalyptic number.

11090131279920 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 11090131279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24767068139520).

11090131279920 is an abundant number, since it is smaller than the sum of its proper divisors (38444004999120).

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

11090131279920 is a wasteful number, since it uses less digits than its factorization.

11090131279920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195623 (or 195600 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 11090131279920 in words is "eleven trillion, ninety billion, one hundred thirty-one million, two hundred seventy-nine thousand, nine hundred twenty".