11089139293800 has 864 divisors, whose sum is σ = 42769557885600. Its totient is φ = 2565328527360.

The previous prime is 11089139293753. The next prime is 11089139293823. The reversal of 11089139293800 is 839293198011.

11089139293800 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 91 + 392 + 93 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 365685439 + ... + 365715761.

Almost surely, 2^{11089139293800} is an apocalyptic number.

11089139293800 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 11089139293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384778942800).

11089139293800 is an abundant number, since it is smaller than the sum of its proper divisors (31680418591800).

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

11089139293800 is a wasteful number, since it uses less digits than its factorization.

11089139293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30435 (or 30406 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11089139293800 in words is "eleven trillion, eighty-nine billion, one hundred thirty-nine million, two hundred ninety-three thousand, eight hundred".