1117609110800 has 1920 divisors, whose sum is σ = 3905750016000. Its totient is φ = 303464448000.

The previous prime is 1117609110757. The next prime is 1117609110809. The reversal of 1117609110800 is 80119067111.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1117609110809) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27258758780 + ... + 27258758820.

It is an arithmetic number, because the mean of its divisors is an integer number (2034244800).

Almost surely, 2^{1117609110800} is an apocalyptic number.

1117609110800 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 1117609110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952875008000).

1117609110800 is an abundant number, since it is smaller than the sum of its proper divisors (2788140905200).

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

1117609110800 is a wasteful number, since it uses less digits than its factorization.

1117609110800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 35.

The spelling of 1117609110800 in words is "one trillion, one hundred seventeen billion, six hundred nine million, one hundred ten thousand, eight hundred".