1090921970304 has 192 divisors, whose sum is σ = 3249030306600. Its totient is φ = 350934958080.

The previous prime is 1090921970293. The next prime is 1090921970317. The reversal of 1090921970304 is 4030791290901.

It can be written as a sum of positive squares in 4 ways, for example, as 322578561600 + 768343408704 = 567960^2 + 876552^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1090921970304² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1090921970304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84215092 + ... + 84228044.

Almost surely, 2^{1090921970304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090921970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624515153300).

1090921970304 is an abundant number, since it is smaller than the sum of its proper divisors (2158108336296).

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

1090921970304 is a wasteful number, since it uses less digits than its factorization.

1090921970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15523 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1090921970304 in words is "one trillion, ninety billion, nine hundred twenty-one million, nine hundred seventy thousand, three hundred four".