1129398365700 has 504 divisors, whose sum is σ = 4017884088960. Its totient is φ = 273156883200.

The previous prime is 1129398365671. The next prime is 1129398365717. The reversal of 1129398365700 is 75638939211.

1129398365700 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 39 + 8 + 36 + 570 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 408165717 + ... + 408168483.

It is an arithmetic number, because the mean of its divisors is an integer number (7971992240).

Almost surely, 2^{1129398365700} is an apocalyptic number.

1129398365700 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 1129398365700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008942044480).

1129398365700 is an abundant number, since it is smaller than the sum of its proper divisors (2888485723260).

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

1129398365700 is a wasteful number, since it uses less digits than its factorization.

1129398365700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1129398365700 in words is "one trillion, one hundred twenty-nine billion, three hundred ninety-eight million, three hundred sixty-five thousand, seven hundred".