12163757027040 has 960 divisors, whose sum is σ = 44647430446080. Its totient is φ = 3129124608000.

The previous prime is 12163757027039. The next prime is 12163757027069. The reversal of 12163757027040 is 4072075736121.

12163757027040 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 3 + 7 + 570 + 2 + 70 + 4 + 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 159 ways as a sum of consecutive naturals, for example, 16196746665 + ... + 16196747415.

It is an arithmetic number, because the mean of its divisors is an integer number (46507740048).

Almost surely, 2^{12163757027040} is an apocalyptic number.

12163757027040 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 12163757027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323715223040).

12163757027040 is an abundant number, since it is smaller than the sum of its proper divisors (32483673419040).

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

12163757027040 is an frugal number, since it uses more digits than its factorization.

12163757027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12163757027040 in words is "twelve trillion, one hundred sixty-three billion, seven hundred fifty-seven million, twenty-seven thousand, forty".