1103015116800 has 1224 divisors, whose sum is σ = 4327146536960. Its totient is φ = 267544166400.

The previous prime is 1103015116799. The next prime is 1103015116843. The reversal of 1103015116800 is 86115103011.

It is a happy number.

1103015116800 is a `hidden beast` number, since 110 + 30 + 1 + 511 + 6 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8685158337 + ... + 8685158463.

Almost surely, 2^{1103015116800} is an apocalyptic number.

1103015116800 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 1103015116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163573268480).

1103015116800 is an abundant number, since it is smaller than the sum of its proper divisors (3224131420160).

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

1103015116800 is a wasteful number, since it uses less digits than its factorization.

1103015116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1103015116800 in words is "one trillion, one hundred three billion, fifteen million, one hundred sixteen thousand, eight hundred".