12737560252032 has 1920 divisors, whose sum is σ = 49216215121920. Its totient is φ = 3212567930880.

The previous prime is 12737560252007. The next prime is 12737560252037. The reversal of 12737560252032 is 23025206573721.

It is a happy number.

12737560252032 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 7 + 5 + 602 + 5 + 2 + 0 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (12737560252037) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 100295749953 + ... + 100295750079.

It is an arithmetic number, because the mean of its divisors is an integer number (25633445376).

Almost surely, 2^{12737560252032} is an apocalyptic number.

12737560252032 is a gapful number since it is divisible by the number (12) 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 12737560252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608107560960).

12737560252032 is an abundant number, since it is smaller than the sum of its proper divisors (36478654869888).

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

12737560252032 is an frugal number, since it uses more digits than its factorization.

12737560252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 12737560252032 in words is "twelve trillion, seven hundred thirty-seven billion, five hundred sixty million, two hundred fifty-two thousand, thirty-two".