488072486865600 has 3360 divisors, whose sum is σ = 2311940112362496. Its totient is φ = 98163029606400.

The previous prime is 488072486865569. The next prime is 488072486865631. The reversal of 488072486865600 is 6568684270884.

488072486865600 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 7 + 2 + 4 + 8 + 6 + 8 + 6 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (488072486865569) and next prime (488072486865631).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 83274606670 + ... + 83274612530.

Almost surely, 2^{488072486865600} is an apocalyptic number.

488072486865600 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 488072486865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155970056181248).

488072486865600 is an abundant number, since it is smaller than the sum of its proper divisors (1823867625496896).

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

488072486865600 is a wasteful number, since it uses less digits than its factorization.

488072486865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 488072486865600 in words is "four hundred eighty-eight trillion, seventy-two billion, four hundred eighty-six million, eight hundred sixty-five thousand, six hundred".