1095955660800 has 3240 divisors, whose sum is σ = 5507689165888. Its totient is φ = 210213273600.

The previous prime is 1095955660747. The next prime is 1095955660801. The reversal of 1095955660800 is 80665595901.

1095955660800 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 9 + 556 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×1095955660800² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1095955660801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84304281594 + ... + 84304281606.

Almost surely, 2^{1095955660800} is an apocalyptic number.

1095955660800 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 1095955660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753844582944).

1095955660800 is an abundant number, since it is smaller than the sum of its proper divisors (4411733505088).

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

1095955660800 is an equidigital number, since it uses as much as digits as its factorization.

1095955660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 1095955660800 in words is "one trillion, ninety-five billion, nine hundred fifty-five million, six hundred sixty thousand, eight hundred".