11552323680000 has 900 divisors, whose sum is σ = 43190972158488. Its totient is φ = 3070172160000.

The previous prime is 11552323679999. The next prime is 11552323680089. The reversal of 11552323680000 is 8632325511.

11552323680000 is a `hidden beast` number, since 1 + 1 + 552 + 3 + 23 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4289758654 + ... + 4289761346.

Almost surely, 2^{11552323680000} is an apocalyptic number.

11552323680000 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 11552323680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595486079244).

11552323680000 is an abundant number, since it is smaller than the sum of its proper divisors (31638648478488).

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

11552323680000 is an frugal number, since it uses more digits than its factorization.

11552323680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11552323680000 in words is "eleven trillion, five hundred fifty-two billion, three hundred twenty-three million, six hundred eighty thousand".