1090871124000 has 576 divisors, whose sum is σ = 4164470174592. Its totient is φ = 248903424000.

The previous prime is 1090871123933. The next prime is 1090871124011. The reversal of 1090871124000 is 4211780901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431002735 + ... + 431005265.

It is an arithmetic number, because the mean of its divisors is an integer number (7229982942).

Almost surely, 2^{1090871124000} is an apocalyptic number.

1090871124000 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 1090871124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082235087296).

1090871124000 is an abundant number, since it is smaller than the sum of its proper divisors (3073599050592).

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

1090871124000 is a wasteful number, since it uses less digits than its factorization.

1090871124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 1090871124000 in words is "one trillion, ninety billion, eight hundred seventy-one million, one hundred twenty-four thousand".