506546853120 has 1728 divisors, whose sum is σ = 2319273492480. Its totient is φ = 103503052800.

The previous prime is 506546853067. The next prime is 506546853181. The reversal of 506546853120 is 21358645605.

506546853120 is a `hidden beast` number, since 5 + 0 + 6 + 54 + 68 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1322576449 + ... + 1322576831.

It is an arithmetic number, because the mean of its divisors is an integer number (1342172160).

Almost surely, 2^506546853120 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 506546853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159636746240).

506546853120 is an abundant number, since it is smaller than the sum of its proper divisors (1812726639360).

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

506546853120 is a wasteful number, since it uses less digits than its factorization.

506546853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 506546853120 in words is "five hundred six billion, five hundred forty-six million, eight hundred fifty-three thousand, one hundred twenty".