2579767680000 has 1320 divisors, whose sum is σ = 10589604954192. Its totient is φ = 554631168000.

The previous prime is 2579767679953. The next prime is 2579767680121. The reversal of 2579767680000 is 867679752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1599359194 + ... + 1599360806.

Almost surely, 2^{2579767680000} is an apocalyptic number.

2579767680000 is a gapful number since it is divisible by the number (20) 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 2579767680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294802477096).

2579767680000 is an abundant number, since it is smaller than the sum of its proper divisors (8009837274192).

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

2579767680000 is a wasteful number, since it uses less digits than its factorization.

2579767680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 2579767680000 in words is "two trillion, five hundred seventy-nine billion, seven hundred sixty-seven million, six hundred eighty thousand".