10609084920000 has 560 divisors, whose sum is σ = 40216053143552. Its totient is φ = 2417126400000.

The previous prime is 10609084919987. The next prime is 10609084920001. The reversal of 10609084920000 is 2948090601.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×10609084920000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10609084920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262899825 + ... + 262940175.

Almost surely, 2^{10609084920000} is an apocalyptic number.

10609084920000 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 10609084920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108026571776).

10609084920000 is an abundant number, since it is smaller than the sum of its proper divisors (29606968223552).

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

10609084920000 is an equidigital number, since it uses as much as digits as its factorization.

10609084920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40706 (or 40681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10609084920000 in words is "ten trillion, six hundred nine billion, eighty-four million, nine hundred twenty thousand".