1095983366400 has 648 divisors, whose sum is σ = 4259551121280. Its totient is φ = 267239669760.

The previous prime is 1095983366393. The next prime is 1095983366417. The reversal of 1095983366400 is 46633895901.

1095983366400 is a `hidden beast` number, since 1 + 0 + 9 + 598 + 3 + 3 + 6 + 6 + 40 + 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, 80114761 + ... + 80128439.

It is an arithmetic number, because the mean of its divisors is an integer number (6573381360).

Almost surely, 2^{1095983366400} is an apocalyptic number.

1095983366400 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 1095983366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129775560640).

1095983366400 is an abundant number, since it is smaller than the sum of its proper divisors (3163567754880).

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

1095983366400 is a wasteful number, since it uses less digits than its factorization.

1095983366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13809 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1095983366400 in words is "one trillion, ninety-five billion, nine hundred eighty-three million, three hundred sixty-six thousand, four hundred".