12064010456960 has 1152 divisors, whose sum is σ = 38141735829120. Its totient is φ = 3633173913600.

The previous prime is 12064010456957. The next prime is 12064010456977. The reversal of 12064010456960 is 6965401046021.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17458770215 + ... + 17458770905.

It is an arithmetic number, because the mean of its divisors is an integer number (33109145685).

Almost surely, 2^{12064010456960} is an apocalyptic number.

12064010456960 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 12064010456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070867914560).

12064010456960 is an abundant number, since it is smaller than the sum of its proper divisors (26077725372160).

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

12064010456960 is a wasteful number, since it uses less digits than its factorization.

12064010456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 12064010456960 in words is "twelve trillion, sixty-four billion, ten million, four hundred fifty-six thousand, nine hundred sixty".