11643257088 has 288 divisors, whose sum is σ = 36070876800. Its totient is φ = 3700629504.

The previous prime is 11643257053. The next prime is 11643257149. The reversal of 11643257088 is 88075234611.

11643257088 is a `hidden beast` number, since 11 + 64 + 3 + 2 + 570 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13554003 + ... + 13554861.

It is an arithmetic number, because the mean of its divisors is an integer number (125246100).

Almost surely, 2^11643257088 is an apocalyptic number.

11643257088 is a gapful number since it is divisible by the number (18) 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 11643257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035438400).

11643257088 is an abundant number, since it is smaller than the sum of its proper divisors (24427619712).

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

11643257088 is an equidigital number, since it uses as much as digits as its factorization.

11643257088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11643257088 in words is "eleven billion, six hundred forty-three million, two hundred fifty-seven thousand, eighty-eight".