12027704063760 has 960 divisors, whose sum is σ = 52644599101440. Its totient is φ = 2495897349120.

The previous prime is 12027704063743. The next prime is 12027704063813. The reversal of 12027704063760 is 6736040772021.

12027704063760 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 7 + 7 + 0 + 4 + 0 + 637 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 916250317 + ... + 916263443.

It is an arithmetic number, because the mean of its divisors is an integer number (54838124064).

Almost surely, 2^{12027704063760} is an apocalyptic number.

12027704063760 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 12027704063760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26322299550720).

12027704063760 is an abundant number, since it is smaller than the sum of its proper divisors (40616895037680).

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

12027704063760 is a wasteful number, since it uses less digits than its factorization.

12027704063760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961 (or 13942 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 12027704063760 in words is "twelve trillion, twenty-seven billion, seven hundred four million, sixty-three thousand, seven hundred sixty".