12952759680 has 512 divisors, whose sum is σ = 55520640000. Its totient is φ = 2786033664.

The previous prime is 12952759679. The next prime is 12952759681. The reversal of 12952759680 is 8695725921.

12952759680 is a `hidden beast` number, since 1 + 2 + 9 + 527 + 59 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12952759679) and next prime (12952759681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12952759681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2053171 + ... + 2059469.

It is an arithmetic number, because the mean of its divisors is an integer number (108438750).

Almost surely, 2^12952759680 is an apocalyptic number.

12952759680 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 12952759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320000).

12952759680 is an abundant number, since it is smaller than the sum of its proper divisors (42567880320).

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

12952759680 is a wasteful number, since it uses less digits than its factorization.

12952759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12952759680 in words is "twelve billion, nine hundred fifty-two million, seven hundred fifty-nine thousand, six hundred eighty".