1296738285360 has 480 divisors, whose sum is σ = 4961179607040. Its totient is φ = 278580363264.

The previous prime is 1296738285329. The next prime is 1296738285361. The reversal of 1296738285360 is 635828376921.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1296738285294 and 1296738285303.

It is not an unprimeable number, because it can be changed into a prime (1296738285361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28354032 + ... + 28399728.

It is an arithmetic number, because the mean of its divisors is an integer number (10335790848).

Almost surely, 2^{1296738285360} is an apocalyptic number.

1296738285360 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 1296738285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480589803520).

1296738285360 is an abundant number, since it is smaller than the sum of its proper divisors (3664441321680).

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

1296738285360 is a wasteful number, since it uses less digits than its factorization.

1296738285360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45873 (or 45860 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 1296738285360 in words is "one trillion, two hundred ninety-six billion, seven hundred thirty-eight million, two hundred eighty-five thousand, three hundred sixty".