508047482880 has 1792 divisors, whose sum is σ = 2234588774400. Its totient is φ = 107017666560.

The previous prime is 508047482879. The next prime is 508047482881. The reversal of 508047482880 is 88284740805.

508047482880 is a `hidden beast` number, since 5 + 0 + 80 + 4 + 7 + 482 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (508047482879) and next prime (508047482881).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×508047482880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508047482881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6959554524 + ... + 6959554596.

Almost surely, 2^508047482880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508047482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117294387200).

508047482880 is an abundant number, since it is smaller than the sum of its proper divisors (1726541291520).

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

508047482880 is a wasteful number, since it uses less digits than its factorization.

508047482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 508047482880 in words is "five hundred eight billion, forty-seven million, four hundred eighty-two thousand, eight hundred eighty".