11103617185920 has 512 divisors, whose sum is σ = 45050681088000. Its totient is φ = 2531900878848.

The previous prime is 11103617185909. The next prime is 11103617185981. The reversal of 11103617185920 is 2958171630111.

11103617185920 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 617 + 1 + 8 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×11103617185920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50572699 + ... + 50791781.

It is an arithmetic number, because the mean of its divisors is an integer number (87989611500).

Almost surely, 2^{11103617185920} is an apocalyptic number.

11103617185920 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 11103617185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525340544000).

11103617185920 is an abundant number, since it is smaller than the sum of its proper divisors (33947063902080).

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

11103617185920 is a wasteful number, since it uses less digits than its factorization.

11103617185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219537 (or 219519 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11103617185920 in words is "eleven trillion, one hundred three billion, six hundred seventeen million, one hundred eighty-five thousand, nine hundred twenty".