487891353600 has 1620 divisors, whose sum is σ = 2116566408684. Its totient is φ = 107017666560.

The previous prime is 487891353577. The next prime is 487891353629. The reversal of 487891353600 is 6353198784.

It can be written as a sum of positive squares in 6 ways, for example, as 6943555584 + 480947798016 = 83328^2 + 693504^2 .

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 107 ways as a sum of consecutive naturals, for example, 6683443164 + ... + 6683443236.

Almost surely, 2^487891353600 is an apocalyptic number.

487891353600 is a gapful number since it is divisible by the number (40) 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 487891353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058283204342).

487891353600 is an abundant number, since it is smaller than the sum of its proper divisors (1628675055084).

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

487891353600 is a wasteful number, since it uses less digits than its factorization.

487891353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 487891353600 in words is "four hundred eighty-seven billion, eight hundred ninety-one million, three hundred fifty-three thousand, six hundred".