2579289495552 has 1728 divisors, whose sum is σ = 10086814483200. Its totient is φ = 643778150400.

The previous prime is 2579289495539. The next prime is 2579289495569. The reversal of 2579289495552 is 2555949829752.

2579289495552 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 2 + 89 + 495 + 5 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12224120727 + ... + 12224120937.

It is an arithmetic number, because the mean of its divisors is an integer number (5837276900).

Almost surely, 2^{2579289495552} is an apocalyptic number.

2579289495552 is a gapful number since it is divisible by the number (22) 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 2579289495552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043407241600).

2579289495552 is an abundant number, since it is smaller than the sum of its proper divisors (7507524987648).

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

2579289495552 is a wasteful number, since it uses less digits than its factorization.

2579289495552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 263 counting only the distinct ones).

The product of its digits is 816480000, while the sum is 72.

The spelling of 2579289495552 in words is "two trillion, five hundred seventy-nine billion, two hundred eighty-nine million, four hundred ninety-five thousand, five hundred fifty-two".