11635162606640 has 80 divisors (see below), whose sum is σ = 27191332143360. Its totient is φ = 4630055377920.

The previous prime is 11635162606609. The next prime is 11635162606649. The reversal of 11635162606640 is 4660626153611.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11635162606649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258772481 + ... + 258817439.

It is an arithmetic number, because the mean of its divisors is an integer number (339891651792).

Almost surely, 2^{11635162606640} is an apocalyptic number.

11635162606640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11635162606640 is an abundant number, since it is smaller than the sum of its proper divisors (15556169536720).

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

11635162606640 is a wasteful number, since it uses less digits than its factorization.

11635162606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61590 (or 61584 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 11635162606640 in words is "eleven trillion, six hundred thirty-five billion, one hundred sixty-two million, six hundred six thousand, six hundred forty".