502427842560 has 1728 divisors, whose sum is σ = 2169616700160. Its totient is φ = 107017666560.

The previous prime is 502427842547. The next prime is 502427842571. The reversal of 502427842560 is 65248724205.

502427842560 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 2 + 7 + 84 + 2 + 560 = 666.

It is a super-2 number, since 2×502427842560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5179668432 + ... + 5179668528.

It is an arithmetic number, because the mean of its divisors is an integer number (1255565220).

Almost surely, 2^502427842560 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 502427842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084808350080).

502427842560 is an abundant number, since it is smaller than the sum of its proper divisors (1667188857600).

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

502427842560 is a wasteful number, since it uses less digits than its factorization.

502427842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 502427842560 in words is "five hundred two billion, four hundred twenty-seven million, eight hundred forty-two thousand, five hundred sixty".