11969417000 has 128 divisors (see below), whose sum is σ = 28799971200. Its totient is φ = 4653376000.

The previous prime is 11969416981. The next prime is 11969417027. The reversal of 11969417000 is 71496911.

It is a super-3 number, since 3×11969417000³ (a number of 31 digits) contains 333 as substring.

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, 18162671 + ... + 18163329.

It is an arithmetic number, because the mean of its divisors is an integer number (224999775).

Almost surely, 2^11969417000 is an apocalyptic number.

11969417000 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 11969417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399985600).

11969417000 is an abundant number, since it is smaller than the sum of its proper divisors (16830554200).

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

11969417000 is a wasteful number, since it uses less digits than its factorization.

11969417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 11969417000 in words is "eleven billion, nine hundred sixty-nine million, four hundred seventeen thousand".