11429776512 has 640 divisors, whose sum is σ = 43127884800. Its totient is φ = 2918799360.

The previous prime is 11429776453. The next prime is 11429776541. The reversal of 11429776512 is 21567792411.

11429776512 is a `hidden beast` number, since 1 + 1 + 42 + 97 + 7 + 6 + 512 = 666.

It is a super-2 number, since 2×11429776512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82228539 + ... + 82228677.

It is an arithmetic number, because the mean of its divisors is an integer number (67387320).

Almost surely, 2^11429776512 is an apocalyptic number.

11429776512 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 11429776512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563942400).

11429776512 is an abundant number, since it is smaller than the sum of its proper divisors (31698108288).

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

11429776512 is a wasteful number, since it uses less digits than its factorization.

11429776512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 11429776512 in words is "eleven billion, four hundred twenty-nine million, seven hundred seventy-six thousand, five hundred twelve".