1279053877248 has 780 divisors, whose sum is σ = 4599686684340. Its totient is φ = 352712392704.

The previous prime is 1279053877247. The next prime is 1279053877303. The reversal of 1279053877248 is 8427783509721.

1279053877248 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 0 + 5 + 387 + 7 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1048838160384 + 230215716864 = 1024128^2 + 479808^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1279053877247) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 471452340 + ... + 471455052.

Almost surely, 2^{1279053877248} is an apocalyptic number.

1279053877248 is a gapful number since it is divisible by the number (18) 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 1279053877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299843342170).

1279053877248 is an abundant number, since it is smaller than the sum of its proper divisors (3320632807092).

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

1279053877248 is an equidigital number, since it uses as much as digits as its factorization.

1279053877248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 1279053877248 in words is "one trillion, two hundred seventy-nine billion, fifty-three million, eight hundred seventy-seven thousand, two hundred forty-eight".