11089418498400 has 288 divisors, whose sum is σ = 41693843173248. Its totient is φ = 2530205900800.

The previous prime is 11089418498369. The next prime is 11089418498413. The reversal of 11089418498400 is 489481498011.

It is a super-2 number, since 2×11089418498400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11905722 + ... + 12803321.

It is an arithmetic number, because the mean of its divisors is an integer number (144770288796).

Almost surely, 2^{11089418498400} is an apocalyptic number.

11089418498400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11089418498400 is an abundant number, since it is smaller than the sum of its proper divisors (30604424674848).

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

11089418498400 is a wasteful number, since it uses less digits than its factorization.

11089418498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24709094 (or 24709081 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 57.

The spelling of 11089418498400 in words is "eleven trillion, eighty-nine billion, four hundred eighteen million, four hundred ninety-eight thousand, four hundred".