488935180800 has 1200 divisors, whose sum is σ = 2022027983712. Its totient is φ = 115657113600.

The previous prime is 488935180793. The next prime is 488935180801. The reversal of 488935180800 is 8081539884.

488935180800 is a `hidden beast` number, since 48 + 8 + 9 + 3 + 518 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×488935180800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (488935180801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 490405902 + ... + 490406898.

Almost surely, 2^488935180800 is an apocalyptic number.

488935180800 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 488935180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011013991856).

488935180800 is an abundant number, since it is smaller than the sum of its proper divisors (1533092802912).

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

488935180800 is a wasteful number, since it uses less digits than its factorization.

488935180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 488935180800 in words is "four hundred eighty-eight billion, nine hundred thirty-five million, one hundred eighty thousand, eight hundred".