2587941566496 has 768 divisors, whose sum is σ = 9176114626560. Its totient is φ = 698844672000.

The previous prime is 2587941566477. The next prime is 2587941566503. The reversal of 2587941566496 is 6946651497852.

2587941566496 is a `hidden beast` number, since 2 + 5 + 8 + 79 + 4 + 1 + 5 + 66 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3144521541 + ... + 3144522363.

It is an arithmetic number, because the mean of its divisors is an integer number (11948065920).

Almost surely, 2^{2587941566496} is an apocalyptic number.

2587941566496 is a gapful number since it is divisible by the number (26) 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 2587941566496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588057313280).

2587941566496 is an abundant number, since it is smaller than the sum of its proper divisors (6588173060064).

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

2587941566496 is a wasteful number, since it uses less digits than its factorization.

2587941566496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

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

The spelling of 2587941566496 in words is "two trillion, five hundred eighty-seven billion, nine hundred forty-one million, five hundred sixty-six thousand, four hundred ninety-six".