488638725120 has 2112 divisors, whose sum is σ = 2258158694400. Its totient is φ = 99214295040.

The previous prime is 488638725101. The next prime is 488638725121. The reversal of 488638725120 is 21527836884.

488638725120 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 387 + 251 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488638725121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2729825191 + ... + 2729825369.

Almost surely, 2^488638725120 is an apocalyptic number.

488638725120 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 488638725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129079347200).

488638725120 is an abundant number, since it is smaller than the sum of its proper divisors (1769519969280).

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

488638725120 is a wasteful number, since it uses less digits than its factorization.

488638725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 488638725120 in words is "four hundred eighty-eight billion, six hundred thirty-eight million, seven hundred twenty-five thousand, one hundred twenty".