1278583488000 has 2560 divisors, whose sum is σ = 5971297812480. Its totient is φ = 262501171200.

The previous prime is 1278583487999. The next prime is 1278583488001. The reversal of 1278583488000 is 8843858721.

1278583488000 is a `hidden beast` number, since 1 + 2 + 7 + 85 + 83 + 488 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1278583487999) and next prime (1278583488001).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×1278583488000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278583488001) 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, 7390655914 + ... + 7390656086.

It is an arithmetic number, because the mean of its divisors is an integer number (2332538208).

Almost surely, 2^{1278583488000} is an apocalyptic number.

1278583488000 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 1278583488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985648906240).

1278583488000 is an abundant number, since it is smaller than the sum of its proper divisors (4692714324480).

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

1278583488000 is a wasteful number, since it uses less digits than its factorization.

1278583488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1278583488000 in words is "one trillion, two hundred seventy-eight billion, five hundred eighty-three million, four hundred eighty-eight thousand".