488865220103520 has 864 divisors, whose sum is σ = 1883460375014400. Its totient is φ = 115271469121536.

The previous prime is 488865220103509. The next prime is 488865220103527. The reversal of 488865220103520 is 25301022568884.

488865220103520 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 6 + 5 + 2 + 2 + 0 + 103 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488865220103527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 896022166 + ... + 896567594.

It is an arithmetic number, because the mean of its divisors is an integer number (2179930989600).

Almost surely, 2^{488865220103520} is an apocalyptic number.

488865220103520 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 488865220103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941730187507200).

488865220103520 is an abundant number, since it is smaller than the sum of its proper divisors (1394595154910880).

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

488865220103520 is a wasteful number, since it uses less digits than its factorization.

488865220103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545632 (or 545608 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 488865220103520 in words is "four hundred eighty-eight trillion, eight hundred sixty-five billion, two hundred twenty million, one hundred three thousand, five hundred twenty".