11352607664640 has 480 divisors, whose sum is σ = 41991812976960. Its totient is φ = 2607293399040.

The previous prime is 11352607664633. The next prime is 11352607664647. The reversal of 11352607664640 is 4646670625311.

It is an interprime number because it is at equal distance from previous prime (11352607664633) and next prime (11352607664647).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (11352607664647) 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 47 ways as a sum of consecutive naturals, for example, 17334832 + ... + 17977808.

It is an arithmetic number, because the mean of its divisors is an integer number (87482943702).

Almost surely, 2^{11352607664640} is an apocalyptic number.

11352607664640 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 11352607664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995906488480).

11352607664640 is an abundant number, since it is smaller than the sum of its proper divisors (30639205312320).

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

11352607664640 is a wasteful number, since it uses less digits than its factorization.

11352607664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643044 (or 643017 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 11352607664640 in words is "eleven trillion, three hundred fifty-two billion, six hundred seven million, six hundred sixty-four thousand, six hundred forty".