1091807773056 has 1152 divisors, whose sum is σ = 4385225779200. Its totient is φ = 261653483520.

The previous prime is 1091807773031. The next prime is 1091807773081. The reversal of 1091807773056 is 6503777081901.

It is an interprime number because it is at equal distance from previous prime (1091807773031) and next prime (1091807773081).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 1091807772993 and 1091807773011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494701105 + ... + 494703311.

It is an arithmetic number, because the mean of its divisors is an integer number (3806619600).

Almost surely, 2^{1091807773056} is an apocalyptic number.

1091807773056 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 1091807773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192612889600).

1091807773056 is an abundant number, since it is smaller than the sum of its proper divisors (3293418006144).

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

1091807773056 is a wasteful number, since it uses less digits than its factorization.

1091807773056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1091807773056 in words is "one trillion, ninety-one billion, eight hundred seven million, seven hundred seventy-three thousand, fifty-six".