1092159717120 has 432 divisors, whose sum is σ = 3848317960032. Its totient is φ = 285930946560.

The previous prime is 1092159717113. The next prime is 1092159717137. The reversal of 1092159717120 is 217179512901.

1092159717120 is a `hidden beast` number, since 1 + 0 + 9 + 21 + 597 + 17 + 1 + 20 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139284400 + ... + 139292240.

It is an arithmetic number, because the mean of its divisors is an integer number (8908143426).

Almost surely, 2^{1092159717120} is an apocalyptic number.

1092159717120 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 1092159717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924158980016).

1092159717120 is an abundant number, since it is smaller than the sum of its proper divisors (2756158242912).

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

1092159717120 is a wasteful number, since it uses less digits than its factorization.

1092159717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 45.

The spelling of 1092159717120 in words is "one trillion, ninety-two billion, one hundred fifty-nine million, seven hundred seventeen thousand, one hundred twenty".