1278275985000 has 1680 divisors, whose sum is σ = 5543987809140. Its totient is φ = 274337280000.

The previous prime is 1278275984911. The next prime is 1278275985073. The reversal of 1278275985000 is 5895728721.

1278275985000 is a `hidden beast` number, since 1 + 2 + 7 + 82 + 7 + 59 + 8 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 287705649924 + 990570335076 = 536382^2 + 995274^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 3036284790 + ... + 3036285210.

Almost surely, 2^{1278275985000} is an apocalyptic number.

1278275985000 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 1278275985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771993904570).

1278275985000 is an abundant number, since it is smaller than the sum of its proper divisors (4265711824140).

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

1278275985000 is an equidigital number, since it uses as much as digits as its factorization.

1278275985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 1278275985000 in words is "one trillion, two hundred seventy-eight billion, two hundred seventy-five million, nine hundred eighty-five thousand".