2578707327168 has 2240 divisors, whose sum is σ = 10332760965120. Its totient is φ = 618098688000.

The previous prime is 2578707327109. The next prime is 2578707327169. The reversal of 2578707327168 is 8617237078752.

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

It is not an unprimeable number, because it can be changed into a prime (2578707327169) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 17077531893 + ... + 17077532043.

Almost surely, 2^{2578707327168} is an apocalyptic number.

2578707327168 is a gapful number since it is divisible by the number (28) 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 2578707327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166380482560).

2578707327168 is an abundant number, since it is smaller than the sum of its proper divisors (7754053637952).

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

2578707327168 is a wasteful number, since it uses less digits than its factorization.

2578707327168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 2578707327168 in words is "two trillion, five hundred seventy-eight billion, seven hundred seven million, three hundred twenty-seven thousand, one hundred sixty-eight".