1280871567360 has 1664 divisors, whose sum is σ = 5774851584000. Its totient is φ = 261598740480.

The previous prime is 1280871567331. The next prime is 1280871567377. The reversal of 1280871567360 is 637651780821.

It is a happy number.

1280871567360 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 8 + 71 + 567 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1280871567297 and 1280871567306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2852720416 + ... + 2852720864.

Almost surely, 2^{1280871567360} is an apocalyptic number.

1280871567360 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 1280871567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887425792000).

1280871567360 is an abundant number, since it is smaller than the sum of its proper divisors (4493980016640).

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

1280871567360 is a wasteful number, since it uses less digits than its factorization.

1280871567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1280871567360 in words is "one trillion, two hundred eighty billion, eight hundred seventy-one million, five hundred sixty-seven thousand, three hundred sixty".