1090305216000 has 3840 divisors, whose sum is σ = 5532029927424. Its totient is φ = 199065600000.

The previous prime is 1090305215981. The next prime is 1090305216019. The reversal of 1090305216000 is 6125030901.

1090305216000 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 0 + 52 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1090305215981) and next prime (1090305216019).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17873855970 + ... + 17873856030.

Almost surely, 2^{1090305216000} is an apocalyptic number.

1090305216000 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 1090305216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766014963712).

1090305216000 is an abundant number, since it is smaller than the sum of its proper divisors (4441724711424).

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

1090305216000 is a wasteful number, since it uses less digits than its factorization.

1090305216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 1090305216000 in words is "one trillion, ninety billion, three hundred five million, two hundred sixteen thousand".