11696479418880 has 480 divisors, whose sum is σ = 42039362933568. Its totient is φ = 3116770099200.

The previous prime is 11696479418839. The next prime is 11696479418893. The reversal of 11696479418880 is 8881497469611.

11696479418880 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 64 + 79 + 418 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11696479418799 and 11696479418808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952398340 + ... + 952410620.

Almost surely, 2^{11696479418880} is an apocalyptic number.

11696479418880 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 11696479418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019681466784).

11696479418880 is an abundant number, since it is smaller than the sum of its proper divisors (30342883514688).

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

11696479418880 is an equidigital number, since it uses as much as digits as its factorization.

11696479418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13850 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 11696479418880 in words is "eleven trillion, six hundred ninety-six billion, four hundred seventy-nine million, four hundred eighteen thousand, eight hundred eighty".