12573348480 has 384 divisors, whose sum is σ = 54132624000. Its totient is φ = 2612551680.

The previous prime is 12573348443. The next prime is 12573348481. The reversal of 12573348480 is 8484337521.

12573348480 is a `hidden beast` number, since 1 + 2 + 573 + 34 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12573348481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429346 + ... + 457694.

It is an arithmetic number, because the mean of its divisors is an integer number (140970375).

Almost surely, 2^12573348480 is an apocalyptic number.

12573348480 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 12573348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066312000).

12573348480 is an abundant number, since it is smaller than the sum of its proper divisors (41559275520).

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

12573348480 is a wasteful number, since it uses less digits than its factorization.

12573348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28392 (or 28377 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12573348480 in words is "twelve billion, five hundred seventy-three million, three hundred forty-eight thousand, four hundred eighty".