1278973560480 has 1536 divisors, whose sum is σ = 5460850483200. Its totient is φ = 243656294400.

The previous prime is 1278973560463. The next prime is 1278973560481. The reversal of 1278973560480 is 840653798721.

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

It is not an unprimeable number, because it can be changed into a prime (1278973560481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3127074516 + ... + 3127074924.

It is an arithmetic number, because the mean of its divisors is an integer number (3555241200).

It is a 1-persistent number, because it is pandigital, but 2⋅1278973560480 = 2557947120960 is not.

Almost surely, 2^{1278973560480} is an apocalyptic number.

1278973560480 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 1278973560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730425241600).

1278973560480 is an abundant number, since it is smaller than the sum of its proper divisors (4181876922720).

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

1278973560480 is a wasteful number, since it uses less digits than its factorization.

1278973560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 1278973560480 in words is "one trillion, two hundred seventy-eight billion, nine hundred seventy-three million, five hundred sixty thousand, four hundred eighty".