11122890264576 has 260 divisors, whose sum is σ = 33239484273600. Its totient is φ = 3706270138368.

The previous prime is 11122890264571. The next prime is 11122890264599. The reversal of 11122890264576 is 67546209822111.

11122890264576 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 8 + 9 + 0 + 2 + 64 + 576 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122890264571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1353310195 + ... + 1353318413.

Almost surely, 2^{11122890264576} is an apocalyptic number.

11122890264576 is a gapful number since it is divisible by the number (16) 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 11122890264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619742136800).

11122890264576 is an abundant number, since it is smaller than the sum of its proper divisors (22116594009024).

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

11122890264576 is an frugal number, since it uses more digits than its factorization.

11122890264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11122890264576 in words is "eleven trillion, one hundred twenty-two billion, eight hundred ninety million, two hundred sixty-four thousand, five hundred seventy-six".