1297820613600 has 864 divisors, whose sum is σ = 5605306237440. Its totient is φ = 276069150720.

The previous prime is 1297820613599. The next prime is 1297820613613. The reversal of 1297820613600 is 63160287921.

1297820613600 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 8 + 20 + 6 + 13 + 600 = 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 143 ways as a sum of consecutive naturals, for example, 42875271 + ... + 42905529.

It is an arithmetic number, because the mean of its divisors is an integer number (6487622960).

Almost surely, 2^{1297820613600} is an apocalyptic number.

1297820613600 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 1297820613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802653118720).

1297820613600 is an abundant number, since it is smaller than the sum of its proper divisors (4307485623840).

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

1297820613600 is a wasteful number, since it uses less digits than its factorization.

1297820613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30352 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1297820613600 in words is "one trillion, two hundred ninety-seven billion, eight hundred twenty million, six hundred thirteen thousand, six hundred".