488556637873920 has 5184 divisors, whose sum is σ = 2325947846197248. Its totient is φ = 93347831808000.

The previous prime is 488556637873877. The next prime is 488556637873933. The reversal of 488556637873920 is 29378736655884.

488556637873920 is a `hidden beast` number, since 4 + 8 + 8 + 556 + 6 + 3 + 7 + 8 + 7 + 39 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 488556637873920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 934142710779 + ... + 934142711301.

It is an arithmetic number, because the mean of its divisors is an integer number (448678211072).

Almost surely, 2^{488556637873920} is an apocalyptic number.

488556637873920 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 488556637873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162973923098624).

488556637873920 is an abundant number, since it is smaller than the sum of its proper divisors (1837391208323328).

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

488556637873920 is a wasteful number, since it uses less digits than its factorization.

488556637873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 81.

The spelling of 488556637873920 in words is "four hundred eighty-eight trillion, five hundred fifty-six billion, six hundred thirty-seven million, eight hundred seventy-three thousand, nine hundred twenty".