1129335509760 has 288 divisors, whose sum is σ = 3816572497920. Its totient is φ = 283808563200.

The previous prime is 1129335509713. The next prime is 1129335509767. The reversal of 1129335509760 is 679055339211.

It is not an unprimeable number, because it can be changed into a prime (1129335509767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13894840 + ... + 13975880.

It is an arithmetic number, because the mean of its divisors is an integer number (13251987840).

Almost surely, 2^{1129335509760} is an apocalyptic number.

1129335509760 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 1129335509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908286248960).

1129335509760 is an abundant number, since it is smaller than the sum of its proper divisors (2687236988160).

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

1129335509760 is a wasteful number, since it uses less digits than its factorization.

1129335509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81275 (or 81261 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 1129335509760 in words is "one trillion, one hundred twenty-nine billion, three hundred thirty-five million, five hundred nine thousand, seven hundred sixty".