11303427996000 has 864 divisors, whose sum is σ = 47658625402752. Its totient is φ = 2528651059200.

The previous prime is 11303427995989. The next prime is 11303427996001. The reversal of 11303427996000 is 69972430311.

11303427996000 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 34 + 2 + 7 + 9 + 9 + 600 + 0 = 666.

11303427996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303427996001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82839832 + ... + 82976168.

It is an arithmetic number, because the mean of its divisors is an integer number (55160446068).

Almost surely, 2^{11303427996000} is an apocalyptic number.

11303427996000 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 11303427996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23829312701376).

11303427996000 is an abundant number, since it is smaller than the sum of its proper divisors (36355197406752).

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

11303427996000 is a wasteful number, since it uses less digits than its factorization.

11303427996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136429 (or 136401 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11303427996000 in words is "eleven trillion, three hundred three billion, four hundred twenty-seven million, nine hundred ninety-six thousand".