1090885570560 has 416 divisors, whose sum is σ = 3895335550080. Its totient is φ = 289620099072.

The previous prime is 1090885570559. The next prime is 1090885570601. The reversal of 1090885570560 is 650755880901.

1090885570560 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 8 + 5 + 5 + 70 + 560 = 666.

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 = 1090885570497 and 1090885570506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128835447 + ... + 128843913.

It is an arithmetic number, because the mean of its divisors is an integer number (9363787380).

Almost surely, 2^{1090885570560} is an apocalyptic number.

1090885570560 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 1090885570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947667775040).

1090885570560 is an abundant number, since it is smaller than the sum of its proper divisors (2804449979520).

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

1090885570560 is an equidigital number, since it uses as much as digits as its factorization.

1090885570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 1090885570560 in words is "one trillion, ninety billion, eight hundred eighty-five million, five hundred seventy thousand, five hundred sixty".