11295770112000 has 1560 divisors, whose sum is σ = 46309161955056. Its totient is φ = 2737152000000.

The previous prime is 11295770111917. The next prime is 11295770112047. The reversal of 11295770112000 is 21107759211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5018110875 + ... + 5018113125.

Almost surely, 2^{11295770112000} is an apocalyptic number.

11295770112000 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 11295770112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154580977528).

11295770112000 is an abundant number, since it is smaller than the sum of its proper divisors (35013391843056).

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

11295770112000 is an equidigital number, since it uses as much as digits as its factorization.

11295770112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 11295770112000 in words is "eleven trillion, two hundred ninety-five billion, seven hundred seventy million, one hundred twelve thousand".