1135113754320 has 1280 divisors, whose sum is σ = 5016638914560. Its totient is φ = 229472870400.

The previous prime is 1135113754309. The next prime is 1135113754331. The reversal of 1135113754320 is 234573115311.

1135113754320 is a `hidden beast` number, since 1 + 13 + 51 + 1 + 37 + 543 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1135113754309) and next prime (1135113754331).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 651988650 + ... + 651990390.

It is an arithmetic number, because the mean of its divisors is an integer number (3919249152).

Almost surely, 2^{1135113754320} is an apocalyptic number.

1135113754320 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 1135113754320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508319457280).

1135113754320 is an abundant number, since it is smaller than the sum of its proper divisors (3881525160240).

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

1135113754320 is a wasteful number, since it uses less digits than its factorization.

1135113754320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 1135113754320 its reverse (234573115311), we get a palindrome (1369686869631).

The spelling of 1135113754320 in words is "one trillion, one hundred thirty-five billion, one hundred thirteen million, seven hundred fifty-four thousand, three hundred twenty".