11809153961088 has 384 divisors, whose sum is σ = 35027108121600. Its totient is φ = 3521820825600.

The previous prime is 11809153961053. The next prime is 11809153961089. The reversal of 11809153961088 is 88016935190811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11809153961088² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11809153961089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042043445 + ... + 2042049227.

It is an arithmetic number, because the mean of its divisors is an integer number (91216427400).

Almost surely, 2^{11809153961088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11809153961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513554060800).

11809153961088 is an abundant number, since it is smaller than the sum of its proper divisors (23217954160512).

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

11809153961088 is a wasteful number, since it uses less digits than its factorization.

11809153961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 60.

The spelling of 11809153961088 in words is "eleven trillion, eight hundred nine billion, one hundred fifty-three million, nine hundred sixty-one thousand, eighty-eight".