488365310160 has 1600 divisors, whose sum is σ = 2172052979712. Its totient is φ = 98964467712.

The previous prime is 488365310149. The next prime is 488365310233. The reversal of 488365310160 is 61013563884.

488365310160 is a `hidden beast` number, since 4 + 88 + 36 + 531 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1856902189 + ... + 1856902451.

Almost surely, 2^488365310160 is an apocalyptic number.

488365310160 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 488365310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086026489856).

488365310160 is an abundant number, since it is smaller than the sum of its proper divisors (1683687669552).

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

488365310160 is a wasteful number, since it uses less digits than its factorization.

488365310160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 488365310160 in words is "four hundred eighty-eight billion, three hundred sixty-five million, three hundred ten thousand, one hundred sixty".