2577378114816 has 144 divisors (see below), whose sum is σ = 7085714571264. Its totient is φ = 831073001472.

The previous prime is 2577378114799. The next prime is 2577378114821. The reversal of 2577378114816 is 6184118737752.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2577378114816.

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 15 ways as a sum of consecutive naturals, for example, 4653825 + ... + 5178111.

Almost surely, 2^{2577378114816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2577378114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542857285632).

2577378114816 is an abundant number, since it is smaller than the sum of its proper divisors (4508336456448).

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

2577378114816 is a wasteful number, since it uses less digits than its factorization.

2577378114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524516 (or 524502 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 60.

The spelling of 2577378114816 in words is "two trillion, five hundred seventy-seven billion, three hundred seventy-eight million, one hundred fourteen thousand, eight hundred sixteen".