1135355325600 has 288 divisors, whose sum is σ = 3767571360000. Its totient is φ = 296915374080.

The previous prime is 1135355325581. The next prime is 1135355325619. The reversal of 1135355325600 is 65235535311.

It is an interprime number because it is at equal distance from previous prime (1135355325581) and next prime (1135355325619).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28230306 + ... + 28270494.

It is an arithmetic number, because the mean of its divisors is an integer number (13081845000).

Almost surely, 2^{1135355325600} is an apocalyptic number.

1135355325600 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 1135355325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883785680000).

1135355325600 is an abundant number, since it is smaller than the sum of its proper divisors (2632216034400).

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

1135355325600 is a wasteful number, since it uses less digits than its factorization.

1135355325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40440 (or 40427 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 1135355325600 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-five million, three hundred twenty-five thousand, six hundred".