1129754208960 has 896 divisors, whose sum is σ = 4664015462400. Its totient is φ = 254943313920.

The previous prime is 1129754208953. The next prime is 1129754209021. The reversal of 1129754208960 is 698024579211.

It is a happy number.

1129754208960 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 7 + 542 + 0 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1129754208897 and 1129754208906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66147942 + ... + 66165018.

It is an arithmetic number, because the mean of its divisors is an integer number (5205374400).

Almost surely, 2^{1129754208960} is an apocalyptic number.

1129754208960 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 1129754208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332007731200).

1129754208960 is an abundant number, since it is smaller than the sum of its proper divisors (3534261253440).

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

1129754208960 is a wasteful number, since it uses less digits than its factorization.

1129754208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17166 (or 17150 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1129754208960 in words is "one trillion, one hundred twenty-nine billion, seven hundred fifty-four million, two hundred eight thousand, nine hundred sixty".