12953128960 has 208 divisors, whose sum is σ = 32865699456. Its totient is φ = 4890558464.

The previous prime is 12953128931. The next prime is 12953128963. The reversal of 12953128960 is 6982135921.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 12953128960.

It is not an unprimeable number, because it can be changed into a prime (12953128963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50401152 + ... + 50401408.

Almost surely, 2^12953128960 is an apocalyptic number.

12953128960 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 12953128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432849728).

12953128960 is an abundant number, since it is smaller than the sum of its proper divisors (19912570496).

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

12953128960 is a wasteful number, since it uses less digits than its factorization.

12953128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 12953128960 in words is "twelve billion, nine hundred fifty-three million, one hundred twenty-eight thousand, nine hundred sixty".