502406106800 has 360 divisors, whose sum is σ = 1398482272656. Its totient is φ = 172753551360.

The previous prime is 502406106757. The next prime is 502406106827. The reversal of 502406106800 is 8601604205.

It is a super-2 number, since 2×502406106800² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111470147 + ... + 111474653.

Almost surely, 2^502406106800 is an apocalyptic number.

502406106800 is a gapful number since it is divisible by the number (50) 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 502406106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699241136328).

502406106800 is an abundant number, since it is smaller than the sum of its proper divisors (896076165856).

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

502406106800 is a wasteful number, since it uses less digits than its factorization.

502406106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 502406106800 in words is "five hundred two billion, four hundred six million, one hundred six thousand, eight hundred".