1135606841600 has 864 divisors, whose sum is σ = 3661676804352. Its totient is φ = 338411520000.

The previous prime is 1135606841587. The next prime is 1135606841609. The reversal of 1135606841600 is 61486065311.

It is not an unprimeable number, because it can be changed into a prime (1135606841609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112249090 + ... + 1112250110.

Almost surely, 2^{1135606841600} is an apocalyptic number.

1135606841600 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 1135606841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830838402176).

1135606841600 is an abundant number, since it is smaller than the sum of its proper divisors (2526069962752).

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

1135606841600 is a wasteful number, since it uses less digits than its factorization.

1135606841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 1135606841600 in words is "one trillion, one hundred thirty-five billion, six hundred six million, eight hundred forty-one thousand, six hundred".