1103729555880 has 1024 divisors, whose sum is σ = 4498384896000. Its totient is φ = 235274637312.

The previous prime is 1103729555833. The next prime is 1103729555909. The reversal of 1103729555880 is 885559273011.

1103729555880 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 7 + 2 + 9 + 5 + 558 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2110381299 + ... + 2110381821.

It is an arithmetic number, because the mean of its divisors is an integer number (4392954000).

Almost surely, 2^{1103729555880} is an apocalyptic number.

1103729555880 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 1103729555880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249192448000).

1103729555880 is an abundant number, since it is smaller than the sum of its proper divisors (3394655340120).

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

1103729555880 is a wasteful number, since it uses less digits than its factorization.

1103729555880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 1103729555880 in words is "one trillion, one hundred three billion, seven hundred twenty-nine million, five hundred fifty-five thousand, eight hundred eighty".