1129706618880 has 816 divisors, whose sum is σ = 4303323072000. Its totient is φ = 252218179584.

The previous prime is 1129706618851. The next prime is 1129706618921. The reversal of 1129706618880 is 888166079211.

It is a self number, because there is not a number n which added to its sum of digits gives 1129706618880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263940871 + ... + 2263941369.

Almost surely, 2^{1129706618880} is an apocalyptic number.

1129706618880 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 1129706618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151661536000).

1129706618880 is an abundant number, since it is smaller than the sum of its proper divisors (3173616453120).

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

1129706618880 is an frugal number, since it uses more digits than its factorization.

1129706618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 1129706618880 in words is "one trillion, one hundred twenty-nine billion, seven hundred six million, six hundred eighteen thousand, eight hundred eighty".