1278668160000 has 2640 divisors, whose sum is σ = 6096061635840. Its totient is φ = 257126400000.

The previous prime is 1278668159983. The next prime is 1278668160017. The reversal of 1278668160000 is 618668721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1278668159983) and next prime (1278668160017).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 41247359985 + ... + 41247360015.

It is an arithmetic number, because the mean of its divisors is an integer number (2309114256).

Almost surely, 2^{1278668160000} is an apocalyptic number.

1278668160000 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 1278668160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048030817920).

1278668160000 is an abundant number, since it is smaller than the sum of its proper divisors (4817393475840).

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

1278668160000 is an equidigital number, since it uses as much as digits as its factorization.

1278668160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1278668160000 in words is "one trillion, two hundred seventy-eight billion, six hundred sixty-eight million, one hundred sixty thousand".