11496803136000 has 1280 divisors, whose sum is σ = 47413477343232. Its totient is φ = 2406703104000.

The previous prime is 11496803135969. The next prime is 11496803136001. The reversal of 11496803136000 is 63130869411.

11496803136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11496803136001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2288829489 + ... + 2288834511.

Almost surely, 2^{11496803136000} is an apocalyptic number.

11496803136000 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 11496803136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706738671616).

11496803136000 is an abundant number, since it is smaller than the sum of its proper divisors (35916674207232).

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

11496803136000 is a wasteful number, since it uses less digits than its factorization.

11496803136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11496803136000 in words is "eleven trillion, four hundred ninety-six billion, eight hundred three million, one hundred thirty-six thousand".