11321856270000 has 800 divisors, whose sum is σ = 41997756416000. Its totient is φ = 2916311040000.

The previous prime is 11321856269951. The next prime is 11321856270041. The reversal of 11321856270000 is 7265812311.

11321856270000 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 8 + 5 + 627 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 6436529121 + ... + 6436530879.

It is an arithmetic number, because the mean of its divisors is an integer number (52497195520).

Almost surely, 2^{11321856270000} is an apocalyptic number.

11321856270000 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 11321856270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998878208000).

11321856270000 is an abundant number, since it is smaller than the sum of its proper divisors (30675900146000).

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

11321856270000 is a wasteful number, since it uses less digits than its factorization.

11321856270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11321856270000 in words is "eleven trillion, three hundred twenty-one billion, eight hundred fifty-six million, two hundred seventy thousand".