488187187200 has 936 divisors, whose sum is σ = 1821925833728. Its totient is φ = 124853944320.

The previous prime is 488187187183. The next prime is 488187187249. The reversal of 488187187200 is 2781781884.

It is a happy number.

488187187200 is a `hidden beast` number, since 4 + 88 + 187 + 187 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3843993537 + ... + 3843993663.

Almost surely, 2^488187187200 is an apocalyptic number.

488187187200 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 488187187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910962916864).

488187187200 is an abundant number, since it is smaller than the sum of its proper divisors (1333738646528).

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

488187187200 is a wasteful number, since it uses less digits than its factorization.

488187187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 488187187200 in words is "four hundred eighty-eight billion, one hundred eighty-seven million, one hundred eighty-seven thousand, two hundred".