487881588472320 has 1920 divisors, whose sum is σ = 1943621057790720. Its totient is φ = 103728745021440.

The previous prime is 487881588472283. The next prime is 487881588472321. The reversal of 487881588472320 is 23274885188784.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×487881588472320² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (487881588472321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 553781598280 + ... + 553781599160.

It is an arithmetic number, because the mean of its divisors is an integer number (1012302634266).

Almost surely, 2^{487881588472320} is an apocalyptic number.

487881588472320 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 487881588472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971810528895360).

487881588472320 is an abundant number, since it is smaller than the sum of its proper divisors (1455739469318400).

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

487881588472320 is a wasteful number, since it uses less digits than its factorization.

487881588472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1541406720, while the sum is 75.

The spelling of 487881588472320 in words is "four hundred eighty-seven trillion, eight hundred eighty-one billion, five hundred eighty-eight million, four hundred seventy-two thousand, three hundred twenty".