11623808640 has 192 divisors, whose sum is σ = 37691390880. Its totient is φ = 3046993920.

The previous prime is 11623808591. The next prime is 11623808641. The reversal of 11623808640 is 4680832611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11623808640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11623808641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7143507 + ... + 7145133.

Almost surely, 2^11623808640 is an apocalyptic number.

11623808640 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 11623808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18845695440).

11623808640 is an abundant number, since it is smaller than the sum of its proper divisors (26067582240).

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

11623808640 is an equidigital number, since it uses as much as digits as its factorization.

11623808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11623808640 in words is "eleven billion, six hundred twenty-three million, eight hundred eight thousand, six hundred forty".