488111961600 has 720 divisors, whose sum is σ = 1890553496832. Its totient is φ = 124485672960.

The previous prime is 488111961587. The next prime is 488111961613. The reversal of 488111961600 is 6169111884.

It is a happy number.

488111961600 is a `hidden beast` number, since 4 + 8 + 8 + 11 + 19 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488111961587) and next prime (488111961613).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 71535789 + ... + 71542611.

Almost surely, 2^488111961600 is an apocalyptic number.

488111961600 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 488111961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945276748416).

488111961600 is an abundant number, since it is smaller than the sum of its proper divisors (1402441535232).

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

488111961600 is an equidigital number, since it uses as much as digits as its factorization.

488111961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 488111961600 in words is "four hundred eighty-eight billion, one hundred eleven million, nine hundred sixty-one thousand, six hundred".