12627394560000 has 1800 divisors, whose sum is σ = 51725555542584. Its totient is φ = 3043491840000.

The previous prime is 12627394559903. The next prime is 12627394560019. The reversal of 12627394560000 is 6549372621.

12627394560000 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 39 + 4 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 99 ways as a sum of consecutive naturals, for example, 72990719914 + ... + 72990720086.

Almost surely, 2^{12627394560000} is an apocalyptic number.

12627394560000 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 12627394560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862777771292).

12627394560000 is an abundant number, since it is smaller than the sum of its proper divisors (39098160982584).

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

12627394560000 is an frugal number, since it uses more digits than its factorization.

12627394560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12627394560000 in words is "twelve trillion, six hundred twenty-seven billion, three hundred ninety-four million, five hundred sixty thousand".