1609991115120 has 960 divisors, whose sum is σ = 6085690490880. Its totient is φ = 394246185984.

The previous prime is 1609991115113. The next prime is 1609991115149. The reversal of 1609991115120 is 215111999061.

It is a happy number.

1609991115120 is a `hidden beast` number, since 1 + 609 + 9 + 9 + 1 + 1 + 15 + 1 + 20 = 666.

It is a super-2 number, since 2×1609991115120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2652373857 + ... + 2652374463.

It is an arithmetic number, because the mean of its divisors is an integer number (6339260928).

Almost surely, 2^{1609991115120} is an apocalyptic number.

1609991115120 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 1609991115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042845245440).

1609991115120 is an abundant number, since it is smaller than the sum of its proper divisors (4475699375760).

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

1609991115120 is a wasteful number, since it uses less digits than its factorization.

1609991115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 45.

The spelling of 1609991115120 in words is "one trillion, six hundred nine billion, nine hundred ninety-one million, one hundred fifteen thousand, one hundred twenty".