2587695364890 has 192 divisors, whose sum is σ = 7114504700160. Its totient is φ = 669161606400.

The previous prime is 2587695364861. The next prime is 2587695364909. The reversal of 2587695364890 is 984635967852.

It is a happy number.

2587695364890 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 6 + 9 + 536 + 4 + 89 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71313432 + ... + 71349708.

It is an arithmetic number, because the mean of its divisors is an integer number (37054711980).

Almost surely, 2^{2587695364890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587695364890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557252350080).

2587695364890 is an abundant number, since it is smaller than the sum of its proper divisors (4526809335270).

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

2587695364890 is a wasteful number, since it uses less digits than its factorization.

2587695364890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36486 (or 36419 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 2587695364890 in words is "two trillion, five hundred eighty-seven billion, six hundred ninety-five million, three hundred sixty-four thousand, eight hundred ninety".