1093120627104 has 240 divisors, whose sum is σ = 3566543127840. Its totient is φ = 325633789440.

The previous prime is 1093120627087. The next prime is 1093120627127. The reversal of 1093120627104 is 4017260213901.

1093120627104 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 1 + 20 + 627 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1357302 + ... + 2007114.

It is an arithmetic number, because the mean of its divisors is an integer number (14860596366).

Almost surely, 2^{1093120627104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093120627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783271563920).

1093120627104 is an abundant number, since it is smaller than the sum of its proper divisors (2473422500736).

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

1093120627104 is a wasteful number, since it uses less digits than its factorization.

1093120627104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649905 (or 649888 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1093120627104 in words is "one trillion, ninety-three billion, one hundred twenty million, six hundred twenty-seven thousand, one hundred four".