487168819200 has 2160 divisors, whose sum is σ = 2223332697600. Its totient is φ = 104044953600.

The previous prime is 487168819177. The next prime is 487168819297. The reversal of 487168819200 is 2918861784.

487168819200 is a `hidden beast` number, since 487 + 1 + 68 + 81 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 15715123185 + ... + 15715123215.

Almost surely, 2^487168819200 is an apocalyptic number.

487168819200 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 487168819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111666348800).

487168819200 is an abundant number, since it is smaller than the sum of its proper divisors (1736163878400).

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

487168819200 is a wasteful number, since it uses less digits than its factorization.

487168819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 487168819200 in words is "four hundred eighty-seven billion, one hundred sixty-eight million, eight hundred nineteen thousand, two hundred".