1293386883360 has 384 divisors, whose sum is σ = 4994547941376. Its totient is φ = 276845015040.

The previous prime is 1293386883331. The next prime is 1293386883367. The reversal of 1293386883360 is 633886833921.

It is a happy number.

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 = 1293386883294 and 1293386883303.

It is not an unprimeable number, because it can be changed into a prime (1293386883367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169089 + ... + 1988351.

It is an arithmetic number, because the mean of its divisors is an integer number (13006635264).

Almost surely, 2^{1293386883360} is an apocalyptic number.

1293386883360 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 1293386883360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497273970688).

1293386883360 is an abundant number, since it is smaller than the sum of its proper divisors (3701161058016).

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

1293386883360 is a wasteful number, since it uses less digits than its factorization.

1293386883360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819328 (or 819320 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 1293386883360 in words is "one trillion, two hundred ninety-three billion, three hundred eighty-six million, eight hundred eighty-three thousand, three hundred sixty".