12953364480 has 960 divisors, whose sum is σ = 55939403520. Its totient is φ = 2802843648.

The previous prime is 12953364449. The next prime is 12953364497. The reversal of 12953364480 is 8446335921.

12953364480 is a `hidden beast` number, since 12 + 9 + 533 + 64 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133539792 + ... + 133539888.

It is an arithmetic number, because the mean of its divisors is an integer number (58270212).

Almost surely, 2^12953364480 is an apocalyptic number.

12953364480 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 12953364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27969701760).

12953364480 is an abundant number, since it is smaller than the sum of its proper divisors (42986039040).

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

12953364480 is an equidigital number, since it uses as much as digits as its factorization.

12953364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12953364480 in words is "twelve billion, nine hundred fifty-three million, three hundred sixty-four thousand, four hundred eighty".