11996418560 has 320 divisors, whose sum is σ = 35510441472. Its totient is φ = 3792961536.

The previous prime is 11996418557. The next prime is 11996418589. The reversal of 11996418560 is 6581469911.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-4 number, since 4×11996418560⁴ (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11996418499 and 11996418508.

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, 16145549 + ... + 16146291.

Almost surely, 2^11996418560 is an apocalyptic number.

11996418560 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 11996418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755220736).

11996418560 is an abundant number, since it is smaller than the sum of its proper divisors (23514022912).

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

11996418560 is an equidigital number, since it uses as much as digits as its factorization.

11996418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 50.

The spelling of 11996418560 in words is "eleven billion, nine hundred ninety-six million, four hundred eighteen thousand, five hundred sixty".