1091659260096 has 280 divisors, whose sum is σ = 3311317549056. Its totient is φ = 355449669120.

The previous prime is 1091659260091. The next prime is 1091659260179. The reversal of 1091659260096 is 6900629561901.

1091659260096 is a `hidden beast` number, since 10 + 9 + 16 + 5 + 9 + 2 + 600 + 9 + 6 = 666.

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 (1091659260091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133271361 + ... + 133279551.

Almost surely, 2^{1091659260096} is an apocalyptic number.

1091659260096 is a gapful number since it is divisible by the number (16) 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 1091659260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655658774528).

1091659260096 is an abundant number, since it is smaller than the sum of its proper divisors (2219658288960).

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

1091659260096 is an equidigital number, since it uses as much as digits as its factorization.

1091659260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1091659260096 in words is "one trillion, ninety-one billion, six hundred fifty-nine million, two hundred sixty thousand, ninety-six".