1135200513600 has 504 divisors, whose sum is σ = 4287788999208. Its totient is φ = 283867545600.

The previous prime is 1135200513593. The next prime is 1135200513611. The reversal of 1135200513600 is 63150025311.

1135200513600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 0 + 0 + 51 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 69581998656 + 1065618514944 = 263784^2 + 1032288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67801230 + ... + 67817970.

Almost surely, 2^{1135200513600} is an apocalyptic number.

1135200513600 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 1135200513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143894499604).

1135200513600 is an abundant number, since it is smaller than the sum of its proper divisors (3152588485608).

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

1135200513600 is a wasteful number, since it uses less digits than its factorization.

1135200513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17063 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1135200513600 its reverse (63150025311), we get a palindrome (1198350538911).

The spelling of 1135200513600 in words is "one trillion, one hundred thirty-five billion, two hundred million, five hundred thirteen thousand, six hundred".