12954589920 has 288 divisors, whose sum is σ = 46405929024. Its totient is φ = 3284582400.

The previous prime is 12954589889. The next prime is 12954589997. The reversal of 12954589920 is 2998545921.

12954589920 is a `hidden beast` number, since 1 + 2 + 9 + 54 + 589 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5993640 + ... + 5995800.

It is an arithmetic number, because the mean of its divisors is an integer number (161131698).

Almost surely, 2^12954589920 is an apocalyptic number.

12954589920 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 12954589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23202964512).

12954589920 is an abundant number, since it is smaller than the sum of its proper divisors (33451339104).

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

12954589920 is a wasteful number, since it uses less digits than its factorization.

12954589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 12954589920 in words is "twelve billion, nine hundred fifty-four million, five hundred eighty-nine thousand, nine hundred twenty".