11952084418560 has 2720 divisors, whose sum is σ = 52179830664192. Its totient is φ = 2578616156160.

The previous prime is 11952084418543. The next prime is 11952084418567. The reversal of 11952084418560 is 6581448025911.

11952084418560 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 20 + 8 + 44 + 18 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11952084418497 and 11952084418506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11952084418567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178389319647 + ... + 178389319713.

Almost surely, 2^{11952084418560} is an apocalyptic number.

11952084418560 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 11952084418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26089915332096).

11952084418560 is an abundant number, since it is smaller than the sum of its proper divisors (40227746245632).

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

11952084418560 is an equidigital number, since it uses as much as digits as its factorization.

11952084418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 11952084418560 in words is "eleven trillion, nine hundred fifty-two billion, eighty-four million, four hundred eighteen thousand, five hundred sixty".