1103315912800 has 144 divisors (see below), whose sum is σ = 2757368485872. Its totient is φ = 430865971200.

The previous prime is 1103315912791. The next prime is 1103315912813. The reversal of 1103315912800 is 82195133011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92082810 + ... + 92094790.

It is an arithmetic number, because the mean of its divisors is an integer number (19148392263).

Almost surely, 2^{1103315912800} is an apocalyptic number.

1103315912800 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 1103315912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378684242936).

1103315912800 is an abundant number, since it is smaller than the sum of its proper divisors (1654052573072).

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

1103315912800 is a wasteful number, since it uses less digits than its factorization.

1103315912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14708 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 1103315912800 in words is "one trillion, one hundred three billion, three hundred fifteen million, nine hundred twelve thousand, eight hundred".