11781424512 has 512 divisors, whose sum is σ = 42223104000. Its totient is φ = 3185049600.

The previous prime is 11781424477. The next prime is 11781424513. The reversal of 11781424512 is 21542418711.

11781424512 is a `hidden beast` number, since 117 + 8 + 1 + 4 + 24 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11781424513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15320064 + ... + 15320832.

It is an arithmetic number, because the mean of its divisors is an integer number (82467000).

Almost surely, 2^11781424512 is an apocalyptic number.

11781424512 is a gapful number since it is divisible by the number (12) 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 11781424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111552000).

11781424512 is an abundant number, since it is smaller than the sum of its proper divisors (30441679488).

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

11781424512 is a wasteful number, since it uses less digits than its factorization.

11781424512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 11781424512 in words is "eleven billion, seven hundred eighty-one million, four hundred twenty-four thousand, five hundred twelve".