12059095466880 has 3072 divisors, whose sum is σ = 57976873113600. Its totient is φ = 2336676249600.

The previous prime is 12059095466867. The next prime is 12059095466939. The reversal of 12059095466880 is 8866459095021.

12059095466880 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 9 + 0 + 9 + 546 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8783025874 + ... + 8783027246.

It is an arithmetic number, because the mean of its divisors is an integer number (18872680050).

Almost surely, 2^{12059095466880} is an apocalyptic number.

12059095466880 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 12059095466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988436556800).

12059095466880 is an abundant number, since it is smaller than the sum of its proper divisors (45917777646720).

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

12059095466880 is a wasteful number, since it uses less digits than its factorization.

12059095466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 12059095466880 in words is "twelve trillion, fifty-nine billion, ninety-five million, four hundred sixty-six thousand, eight hundred eighty".