11103626880 has 256 divisors, whose sum is σ = 39535200000. Its totient is φ = 2945175552.

The previous prime is 11103626879. The next prime is 11103626893. The reversal of 11103626880 is 8862630111.

11103626880 is a `hidden beast` number, since 11 + 10 + 3 + 626 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3437106 + ... + 3440334.

It is an arithmetic number, because the mean of its divisors is an integer number (154434375).

Almost surely, 2^11103626880 is an apocalyptic number.

11103626880 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 11103626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767600000).

11103626880 is an abundant number, since it is smaller than the sum of its proper divisors (28431573120).

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

11103626880 is a wasteful number, since it uses less digits than its factorization.

11103626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11103626880 in words is "eleven billion, one hundred three million, six hundred twenty-six thousand, eight hundred eighty".