1105501196800 has 720 divisors, whose sum is σ = 3698255385792. Its totient is φ = 318018355200.

The previous prime is 1105501196719. The next prime is 1105501196809. The reversal of 1105501196800 is 86911055011.

It is a super-2 number, since 2×1105501196800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1105501196800.

It is not an unprimeable number, because it can be changed into a prime (1105501196809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166563082 + ... + 166569718.

Almost surely, 2^{1105501196800} is an apocalyptic number.

1105501196800 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 1105501196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849127692896).

1105501196800 is an abundant number, since it is smaller than the sum of its proper divisors (2592754188992).

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

1105501196800 is a wasteful number, since it uses less digits than its factorization.

1105501196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 37.

The spelling of 1105501196800 in words is "one trillion, one hundred five billion, five hundred one million, one hundred ninety-six thousand, eight hundred".