488491197072800 has 576 divisors, whose sum is σ = 1319038524631296. Its totient is φ = 175905885388800.

The previous prime is 488491197072793. The next prime is 488491197072863. The reversal of 488491197072800 is 8270791194884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5787288197 + ... + 5787372603.

It is an arithmetic number, because the mean of its divisors is an integer number (2289997438596).

Almost surely, 2^{488491197072800} is an apocalyptic number.

488491197072800 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 488491197072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659519262315648).

488491197072800 is an abundant number, since it is smaller than the sum of its proper divisors (830547327558496).

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

488491197072800 is a wasteful number, since it uses less digits than its factorization.

488491197072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84689 (or 84676 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 68.

The spelling of 488491197072800 in words is "four hundred eighty-eight trillion, four hundred ninety-one billion, one hundred ninety-seven million, seventy-two thousand, eight hundred".