1296153543168 has 320 divisors, whose sum is σ = 4197331353600. Its totient is φ = 391663226880.

The previous prime is 1296153543143. The next prime is 1296153543169. The reversal of 1296153543168 is 8613453516921.

1296153543168 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 1 + 535 + 43 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1296153543169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54579105 + ... + 54602847.

It is an arithmetic number, because the mean of its divisors is an integer number (13116660480).

Almost surely, 2^{1296153543168} is an apocalyptic number.

1296153543168 is a gapful number since it is divisible by the number (18) 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 1296153543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098665676800).

1296153543168 is an abundant number, since it is smaller than the sum of its proper divisors (2901177810432).

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

1296153543168 is a wasteful number, since it uses less digits than its factorization.

1296153543168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24140 (or 24118 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 1296153543168 in words is "one trillion, two hundred ninety-six billion, one hundred fifty-three million, five hundred forty-three thousand, one hundred sixty-eight".