1293768803328 has 352 divisors, whose sum is σ = 3801013708800. Its totient is φ = 389420089344.

The previous prime is 1293768803317. The next prime is 1293768803329. The reversal of 1293768803328 is 8233088673921.

It is not an unprimeable number, because it can be changed into a prime (1293768803329) 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, 420189693 + ... + 420192771.

It is an arithmetic number, because the mean of its divisors is an integer number (10798334400).

Almost surely, 2^{1293768803328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293768803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900506854400).

1293768803328 is an abundant number, since it is smaller than the sum of its proper divisors (2507244905472).

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

1293768803328 is a wasteful number, since it uses less digits than its factorization.

1293768803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 1293768803328 in words is "one trillion, two hundred ninety-three billion, seven hundred sixty-eight million, eight hundred three thousand, three hundred twenty-eight".