11629099680 has 192 divisors, whose sum is σ = 40103538048. Its totient is φ = 2809180160.

The previous prime is 11629099661. The next prime is 11629099681. The reversal of 11629099680 is 8699092611.

11629099680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11629099680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11629099681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1543282 + ... + 1550798.

It is an arithmetic number, because the mean of its divisors is an integer number (208872594).

Almost surely, 2^11629099680 is an apocalyptic number.

11629099680 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 11629099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051769024).

11629099680 is an abundant number, since it is smaller than the sum of its proper divisors (28474438368).

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

11629099680 is a wasteful number, since it uses less digits than its factorization.

11629099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 11629099680 in words is "eleven billion, six hundred twenty-nine million, ninety-nine thousand, six hundred eighty".