1091106561600 has 756 divisors, whose sum is σ = 4362081291568. Its totient is φ = 258341529600.

The previous prime is 1091106561599. The next prime is 1091106561607. The reversal of 1091106561600 is 61656011901.

1091106561600 is a `hidden beast` number, since 1 + 0 + 91 + 1 + 0 + 6 + 561 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1091106561607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 74915919 + ... + 74930481.

Almost surely, 2^{1091106561600} is an apocalyptic number.

1091106561600 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 1091106561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181040645784).

1091106561600 is an abundant number, since it is smaller than the sum of its proper divisors (3270974729968).

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

1091106561600 is a wasteful number, since it uses less digits than its factorization.

1091106561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14656 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1091106561600 in words is "one trillion, ninety-one billion, one hundred six million, five hundred sixty-one thousand, six hundred".