492482780552880 has 2560 divisors, whose sum is σ = 2032749575700480. Its totient is φ = 108470367682560.

The previous prime is 492482780552849. The next prime is 492482780552899. The reversal of 492482780552880 is 88255087284294.

492482780552880 is a `hidden beast` number, since 4 + 9 + 2 + 48 + 27 + 8 + 0 + 552 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 492482780552799 and 492482780552808.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 122477685270 + ... + 122477689290.

It is an arithmetic number, because the mean of its divisors is an integer number (794042803008).

Almost surely, 2^{492482780552880} is an apocalyptic number.

492482780552880 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 492482780552880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016374787850240).

492482780552880 is an abundant number, since it is smaller than the sum of its proper divisors (1540266795147600).

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

492482780552880 is a wasteful number, since it uses less digits than its factorization.

492482780552880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 492482780552880 in words is "four hundred ninety-two trillion, four hundred eighty-two billion, seven hundred eighty million, five hundred fifty-two thousand, eight hundred eighty".