11969829810 has 64 divisors (see below), whose sum is σ = 32598720000. Its totient is φ = 3124037376.

The previous prime is 11969829791. The next prime is 11969829821. The reversal of 11969829810 is 1892896911.

It is a super-3 number, since 3×11969829810³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458935 + ... + 484314.

It is an arithmetic number, because the mean of its divisors is an integer number (509355000).

Almost surely, 2^11969829810 is an apocalyptic number.

11969829810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11969829810 is an abundant number, since it is smaller than the sum of its proper divisors (20628890190).

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

11969829810 is a wasteful number, since it uses less digits than its factorization.

11969829810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943312 (or 943306 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 11969829810 in words is "eleven billion, nine hundred sixty-nine million, eight hundred twenty-nine thousand, eight hundred ten".