11567340000 has 480 divisors, whose sum is σ = 43582049280. Its totient is φ = 2980800000.

The previous prime is 11567339989. The next prime is 11567340023. The reversal of 11567340000 is 4376511.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16739655 + ... + 16740345.

It is an arithmetic number, because the mean of its divisors is an integer number (90795936).

Almost surely, 2^11567340000 is an apocalyptic number.

11567340000 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 11567340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21791024640).

11567340000 is an abundant number, since it is smaller than the sum of its proper divisors (32014709280).

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

11567340000 is an equidigital number, since it uses as much as digits as its factorization.

11567340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11567340000 in words is "eleven billion, five hundred sixty-seven million, three hundred forty thousand".