12945520425600 has 1728 divisors, whose sum is σ = 55670677920000. Its totient is φ = 2854191513600.

The previous prime is 12945520425599. The next prime is 12945520425601. The reversal of 12945520425600 is 652402554921.

12945520425600 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 552 + 0 + 42 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12945520425599) and next prime (12945520425601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12945520425601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4709173026 + ... + 4709175774.

It is an arithmetic number, because the mean of its divisors is an integer number (32216827500).

Almost surely, 2^{12945520425600} is an apocalyptic number.

12945520425600 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 12945520425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27835338960000).

12945520425600 is an abundant number, since it is smaller than the sum of its proper divisors (42725157494400).

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

12945520425600 is a wasteful number, since it uses less digits than its factorization.

12945520425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 12945520425600 in words is "twelve trillion, nine hundred forty-five billion, five hundred twenty million, four hundred twenty-five thousand, six hundred".