1090285056000 has 1664 divisors, whose sum is σ = 4857669273600. Its totient is φ = 235693670400.

The previous prime is 1090285055941. The next prime is 1090285056031. The reversal of 1090285056000 is 6505820901.

It is a happy number.

1090285056000 is a `hidden beast` number, since 1 + 0 + 90 + 2 + 8 + 5 + 0 + 560 + 0 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 1838591704 + ... + 1838592296.

It is an arithmetic number, because the mean of its divisors is an integer number (2919272400).

Almost surely, 2^{1090285056000} is an apocalyptic number.

1090285056000 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 1090285056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428834636800).

1090285056000 is an abundant number, since it is smaller than the sum of its proper divisors (3767384217600).

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

1090285056000 is an equidigital number, since it uses as much as digits as its factorization.

1090285056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1090285056000 in words is "one trillion, ninety billion, two hundred eighty-five million, fifty-six thousand".