1297729585152 has 1296 divisors, whose sum is σ = 5156117929872. Its totient is φ = 309162147840.

The previous prime is 1297729585133. The next prime is 1297729585169. The reversal of 1297729585152 is 2515859277921.

1297729585152 is a `hidden beast` number, since 1 + 2 + 97 + 7 + 29 + 5 + 8 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1297729585152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8265793458 + ... + 8265793614.

It is an arithmetic number, because the mean of its divisors is an integer number (3978486057).

Almost surely, 2^{1297729585152} is an apocalyptic number.

1297729585152 is a gapful number since it is divisible by the number (12) 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 1297729585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578058964936).

1297729585152 is an abundant number, since it is smaller than the sum of its proper divisors (3858388344720).

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

1297729585152 is a wasteful number, since it uses less digits than its factorization.

1297729585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its digits is 31752000, while the sum is 63.

It can be divided in two parts, 1297729 and 585152, that added together give a palindrome (1882881).

The spelling of 1297729585152 in words is "one trillion, two hundred ninety-seven billion, seven hundred twenty-nine million, five hundred eighty-five thousand, one hundred fifty-two".