11343552000 has 640 divisors, whose sum is σ = 42468281856. Its totient is φ = 2662400000.

The previous prime is 11343551981. The next prime is 11343552029. The reversal of 11343552000 is 25534311.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86591935 + ... + 86592065.

Almost surely, 2^11343552000 is an apocalyptic number.

11343552000 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 11343552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234140928).

11343552000 is an abundant number, since it is smaller than the sum of its proper divisors (31124729856).

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

11343552000 is a wasteful number, since it uses less digits than its factorization.

11343552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 11343552000 in words is "eleven billion, three hundred forty-three million, five hundred fifty-two thousand".