488524569120 has 960 divisors, whose sum is σ = 2099492752896. Its totient is φ = 104429813760.

The previous prime is 488524569083. The next prime is 488524569209. The reversal of 488524569120 is 21965425884.

488524569120 is a `hidden beast` number, since 4 + 8 + 8 + 52 + 4 + 569 + 1 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 266806605 + ... + 266808435.

Almost surely, 2^488524569120 is an apocalyptic number.

488524569120 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 488524569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049746376448).

488524569120 is an abundant number, since it is smaller than the sum of its proper divisors (1610968183776).

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

488524569120 is a wasteful number, since it uses less digits than its factorization.

488524569120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 488524569120 in words is "four hundred eighty-eight billion, five hundred twenty-four million, five hundred sixty-nine thousand, one hundred twenty".