506089920000 has 800 divisors, whose sum is σ = 1943896154112. Its totient is φ = 114573312000.

The previous prime is 506089919999. The next prime is 506089920019. The reversal of 506089920000 is 29980605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×506089920000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 853439704 + ... + 853440296.

Almost surely, 2^506089920000 is an apocalyptic number.

506089920000 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 506089920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971948077056).

506089920000 is an abundant number, since it is smaller than the sum of its proper divisors (1437806234112).

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

506089920000 is an equidigital number, since it uses as much as digits as its factorization.

506089920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 506089920000 in words is "five hundred six billion, eighty-nine million, nine hundred twenty thousand".