12552901760 has 256 divisors, whose sum is σ = 36529056000. Its totient is φ = 4029087744.

The previous prime is 12552901729. The next prime is 12552901763. The reversal of 12552901760 is 6710925521.

It is a happy number.

It is a super-2 number, since 2×12552901760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (12552901763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7574852 + ... + 7576508.

It is an arithmetic number, because the mean of its divisors is an integer number (142691625).

Almost surely, 2^12552901760 is an apocalyptic number.

12552901760 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 12552901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264528000).

12552901760 is an abundant number, since it is smaller than the sum of its proper divisors (23976154240).

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

12552901760 is a wasteful number, since it uses less digits than its factorization.

12552901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 12552901760 in words is "twelve billion, five hundred fifty-two million, nine hundred one thousand, seven hundred sixty".