488732175360 has 2112 divisors, whose sum is σ = 2145052675584. Its totient is φ = 105106636800.

The previous prime is 488732175353. The next prime is 488732175377. The reversal of 488732175360 is 63571237884.

It is a happy number.

488732175360 is a `hidden beast` number, since 4 + 8 + 87 + 3 + 21 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×488732175360² (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 a junction number, because it is equal to n+sod(n) for n = 488732175297 and 488732175306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7294510047 + ... + 7294510113.

Almost surely, 2^488732175360 is an apocalyptic number.

488732175360 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 488732175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072526337792).

488732175360 is an abundant number, since it is smaller than the sum of its proper divisors (1656320500224).

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

488732175360 is a wasteful number, since it uses less digits than its factorization.

488732175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 488732175360 in words is "four hundred eighty-eight billion, seven hundred thirty-two million, one hundred seventy-five thousand, three hundred sixty".