1293720790320 has 480 divisors, whose sum is σ = 5427115499520. Its totient is φ = 269334650880.

The previous prime is 1293720790291. The next prime is 1293720790321. The reversal of 1293720790320 is 230970273921.

It is a happy number.

1293720790320 is a `hidden beast` number, since 1 + 2 + 9 + 37 + 207 + 90 + 320 = 666.

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 (1293720790321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2412541 + ... + 2899619.

It is an arithmetic number, because the mean of its divisors is an integer number (11306490624).

Almost surely, 2^{1293720790320} is an apocalyptic number.

1293720790320 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 1293720790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713557749760).

1293720790320 is an abundant number, since it is smaller than the sum of its proper divisors (4133394709200).

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

1293720790320 is a wasteful number, since it uses less digits than its factorization.

1293720790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487153 (or 487144 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1293720790320 in words is "one trillion, two hundred ninety-three billion, seven hundred twenty million, seven hundred ninety thousand, three hundred twenty".