12552341760 has 648 divisors, whose sum is σ = 51972121656. Its totient is φ = 2786918400.

The previous prime is 12552341749. The next prime is 12552341771. The reversal of 12552341760 is 6714325521.

12552341760 is a `hidden beast` number, since 1 + 2 + 552 + 3 + 41 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (12552341749) and next prime (12552341771).

It can be written as a sum of positive squares in 4 ways, for example, as 5664669696 + 6887672064 = 75264^2 + 82992^2 .

It is a super-2 number, since 2×12552341760² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 20885460 + ... + 20886060.

Almost surely, 2^12552341760 is an apocalyptic number.

12552341760 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 12552341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25986060828).

12552341760 is an abundant number, since it is smaller than the sum of its proper divisors (39419779896).

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

12552341760 is a wasteful number, since it uses less digits than its factorization.

12552341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12552341760 in words is "twelve billion, five hundred fifty-two million, three hundred forty-one thousand, seven hundred sixty".