12675141705600 has 768 divisors, whose sum is σ = 50641671225600. Its totient is φ = 3070507622400.

The previous prime is 12675141705599. The next prime is 12675141705617. The reversal of 12675141705600 is 650714157621.

12675141705600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 5 + 14 + 1 + 70 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555800727 + ... + 1555808873.

It is an arithmetic number, because the mean of its divisors is an integer number (65939676075).

Almost surely, 2^{12675141705600} is an apocalyptic number.

12675141705600 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 12675141705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25320835612800).

12675141705600 is an abundant number, since it is smaller than the sum of its proper divisors (37966529520000).

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

12675141705600 is a wasteful number, since it uses less digits than its factorization.

12675141705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12675141705600 in words is "twelve trillion, six hundred seventy-five billion, one hundred forty-one million, seven hundred five thousand, six hundred".