12573908640 has 672 divisors, whose sum is σ = 47991968640. Its totient is φ = 3103930368.

The previous prime is 12573908639. The next prime is 12573908647. The reversal of 12573908640 is 4680937521.

12573908640 is a `hidden beast` number, since 1 + 257 + 390 + 8 + 6 + 4 + 0 = 666.

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 (12573908647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115356906 + ... + 115357014.

It is an arithmetic number, because the mean of its divisors is an integer number (71416620).

It is a 1-persistent number, because it is pandigital, but 2⋅12573908640 = 25147817280 is not.

Almost surely, 2^12573908640 is an apocalyptic number.

12573908640 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 12573908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995984320).

12573908640 is an abundant number, since it is smaller than the sum of its proper divisors (35418060000).

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

12573908640 is a wasteful number, since it uses less digits than its factorization.

12573908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12573908640 in words is "twelve billion, five hundred seventy-three million, nine hundred eight thousand, six hundred forty".