11955946466880 has 1344 divisors, whose sum is σ = 48768909815808. Its totient is φ = 2660365762560.

The previous prime is 11955946466879. The next prime is 11955946466881. The reversal of 11955946466880 is 8866464955911.

11955946466880 is a `hidden beast` number, since 1 + 1 + 9 + 559 + 4 + 6 + 4 + 6 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11955946466879) and next prime (11955946466881).

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 = 11955946466799 and 11955946466808.

It is not an unprimeable number, because it can be changed into a prime (11955946466881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2703128349 + ... + 2703132771.

It is an arithmetic number, because the mean of its divisors is an integer number (36286391232).

Almost surely, 2^{11955946466880} is an apocalyptic number.

11955946466880 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 11955946466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384454907904).

11955946466880 is an abundant number, since it is smaller than the sum of its proper divisors (36812963348928).

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

11955946466880 is a wasteful number, since it uses less digits than its factorization.

11955946466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 11955946466880 in words is "eleven trillion, nine hundred fifty-five billion, nine hundred forty-six million, four hundred sixty-six thousand, eight hundred eighty".