1298035065600 has 3456 divisors, whose sum is σ = 6342807367680. Its totient is φ = 252255928320.

The previous prime is 1298035065599. The next prime is 1298035065601. The reversal of 1298035065600 is 65605308921.

1298035065600 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 0 + 35 + 0 + 6 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1298035065599) and next prime (1298035065601).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (1298035065601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13381804752 + ... + 13381804848.

Almost surely, 2^{1298035065600} is an apocalyptic number.

1298035065600 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 1298035065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171403683840).

1298035065600 is an abundant number, since it is smaller than the sum of its proper divisors (5044772302080).

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

1298035065600 is a wasteful number, since it uses less digits than its factorization.

1298035065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1298035065600 in words is "one trillion, two hundred ninety-eight billion, thirty-five million, sixty-five thousand, six hundred".