488064838800 has 480 divisors, whose sum is σ = 2063883331584. Its totient is φ = 95450112000.

The previous prime is 488064838799. The next prime is 488064838873. The reversal of 488064838800 is 8838460884.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 1415445 + ... + 1726155.

Almost surely, 2^488064838800 is an apocalyptic number.

488064838800 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 488064838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031941665792).

488064838800 is an abundant number, since it is smaller than the sum of its proper divisors (1575818492784).

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

488064838800 is a wasteful number, since it uses less digits than its factorization.

488064838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310767 (or 310756 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 57.

The spelling of 488064838800 in words is "four hundred eighty-eight billion, sixty-four million, eight hundred thirty-eight thousand, eight hundred".