11756316000 has 1152 divisors, whose sum is σ = 49725591552. Its totient is φ = 2396160000.

The previous prime is 11756315981. The next prime is 11756316043. The reversal of 11756316000 is 61365711.

11756316000 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 (30).

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 191 ways as a sum of consecutive naturals, for example, 379235985 + ... + 379236015.

It is an arithmetic number, because the mean of its divisors is an integer number (43164576).

Almost surely, 2^11756316000 is an apocalyptic number.

11756316000 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 11756316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862795776).

11756316000 is an abundant number, since it is smaller than the sum of its proper divisors (37969275552).

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

11756316000 is a wasteful number, since it uses less digits than its factorization.

11756316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 11756316000 in words is "eleven billion, seven hundred fifty-six million, three hundred sixteen thousand".