2587257126720 has 672 divisors, whose sum is σ = 10296833384448. Its totient is φ = 584063778816.

The previous prime is 2587257126709. The next prime is 2587257126733. The reversal of 2587257126720 is 276217527852.

2587257126720 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 2 + 571 + 2 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 596552392 + ... + 596556728.

Almost surely, 2^{2587257126720} is an apocalyptic number.

2587257126720 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 2587257126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148416692224).

2587257126720 is an abundant number, since it is smaller than the sum of its proper divisors (7709576257728).

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

2587257126720 is a wasteful number, since it uses less digits than its factorization.

2587257126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 2587257126720 in words is "two trillion, five hundred eighty-seven billion, two hundred fifty-seven million, one hundred twenty-six thousand, seven hundred twenty".