506230878720 has 320 divisors, whose sum is σ = 1888912244736. Its totient is φ = 113247436800.

The previous prime is 506230878701. The next prime is 506230878731. The reversal of 506230878720 is 27878032605.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 506230878720.

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 31 ways as a sum of consecutive naturals, for example, 2426545 + ... + 2626895.

Almost surely, 2^506230878720 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 506230878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944456122368).

506230878720 is an abundant number, since it is smaller than the sum of its proper divisors (1382681366016).

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

506230878720 is a wasteful number, since it uses less digits than its factorization.

506230878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200431 (or 200415 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 506230878720 in words is "five hundred six billion, two hundred thirty million, eight hundred seventy-eight thousand, seven hundred twenty".