11315653600 has 36 divisors (see below), whose sum is σ = 27624341304. Its totient is φ = 4526261120.

The previous prime is 11315653571. The next prime is 11315653607. The reversal of 11315653600 is 635651311.

11315653600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11315653607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7071484 + ... + 7073083.

It is an arithmetic number, because the mean of its divisors is an integer number (767342814).

Almost surely, 2^11315653600 is an apocalyptic number.

11315653600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11315653600 is an abundant number, since it is smaller than the sum of its proper divisors (16308687704).

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

11315653600 is a wasteful number, since it uses less digits than its factorization.

11315653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144587 (or 14144574 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 11315653600 in words is "eleven billion, three hundred fifteen million, six hundred fifty-three thousand, six hundred".