11147268121600 has 792 divisors, whose sum is σ = 31136715247680. Its totient is φ = 3951708733440.

The previous prime is 11147268121559. The next prime is 11147268121679. The reversal of 11147268121600 is 612186274111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13286373981 + ... + 13286374819.

Almost surely, 2^{11147268121600} is an apocalyptic number.

11147268121600 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 11147268121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568357623840).

11147268121600 is an abundant number, since it is smaller than the sum of its proper divisors (19989447126080).

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

11147268121600 is a wasteful number, since it uses less digits than its factorization.

11147268121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 11147268121600 in words is "eleven trillion, one hundred forty-seven billion, two hundred sixty-eight million, one hundred twenty-one thousand, six hundred".