488683050609600 has 5040 divisors, whose sum is σ = 2430925153888000. Its totient is φ = 93945625804800.

The previous prime is 488683050609563. The next prime is 488683050609629. The reversal of 488683050609600 is 6906050386884.

488683050609600 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 8 + 30 + 506 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×488683050609600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 89683067676 + ... + 89683073124.

Almost surely, 2^{488683050609600} is an apocalyptic number.

488683050609600 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 488683050609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215462576944000).

488683050609600 is an abundant number, since it is smaller than the sum of its proper divisors (1942242103278400).

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

488683050609600 is a wasteful number, since it uses less digits than its factorization.

488683050609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 488683050609600 in words is "four hundred eighty-eight trillion, six hundred eighty-three billion, fifty million, six hundred nine thousand, six hundred".