11506704000 has 1024 divisors, whose sum is σ = 46437580800. Its totient is φ = 2488320000.

The previous prime is 11506703987. The next prime is 11506704029. The reversal of 11506704000 is 40760511.

11506704000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310991982 + ... + 310992018.

It is an arithmetic number, because the mean of its divisors is an integer number (45349200).

Almost surely, 2^11506704000 is an apocalyptic number.

11506704000 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 11506704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218790400).

11506704000 is an abundant number, since it is smaller than the sum of its proper divisors (34930876800).

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

11506704000 is a wasteful number, since it uses less digits than its factorization.

11506704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 11506704000 in words is "eleven billion, five hundred six million, seven hundred four thousand".