11782056000 has 448 divisors, whose sum is σ = 45719122176. Its totient is φ = 2635776000.

The previous prime is 11782055993. The next prime is 11782056019. The reversal of 11782056000 is 65028711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3430284 + ... + 3433716.

It is an arithmetic number, because the mean of its divisors is an integer number (102051612).

Almost surely, 2^11782056000 is an apocalyptic number.

11782056000 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 11782056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22859561088).

11782056000 is an abundant number, since it is smaller than the sum of its proper divisors (33937066176).

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

11782056000 is a wasteful number, since it uses less digits than its factorization.

11782056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11782056000 in words is "eleven billion, seven hundred eighty-two million, fifty-six thousand".