1587079640448 has 192 divisors, whose sum is σ = 4985406753600. Its totient is φ = 501182857728.

The previous prime is 1587079640411. The next prime is 1587079640473. The reversal of 1587079640448 is 8440469707851.

1587079640448 is a `hidden beast` number, since 1 + 5 + 87 + 0 + 79 + 6 + 40 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751786 + ... + 1933737.

It is an arithmetic number, because the mean of its divisors is an integer number (25965660175).

Almost surely, 2^{1587079640448} is an apocalyptic number.

1587079640448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1587079640448 is an abundant number, since it is smaller than the sum of its proper divisors (3398327113152).

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

1587079640448 is an equidigital number, since it uses as much as digits as its factorization.

1587079640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685571 (or 2685547 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1587079640448 in words is "one trillion, five hundred eighty-seven billion, seventy-nine million, six hundred forty thousand, four hundred forty-eight".