12953261520 has 240 divisors, whose sum is σ = 47133358272. Its totient is φ = 3175280640.

The previous prime is 12953261507. The next prime is 12953261527. The reversal of 12953261520 is 2516235921.

It is a happy number.

12953261520 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 32 + 615 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953261527) 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, 514015 + ... + 538625.

Almost surely, 2^12953261520 is an apocalyptic number.

12953261520 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 12953261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566679136).

12953261520 is an abundant number, since it is smaller than the sum of its proper divisors (34180096752).

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

12953261520 is a wasteful number, since it uses less digits than its factorization.

12953261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24690 (or 24681 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12953261520 in words is "twelve billion, nine hundred fifty-three million, two hundred sixty-one thousand, five hundred twenty".