506704548096 has 864 divisors, whose sum is σ = 1665388408320. Its totient is φ = 147397017600.

The previous prime is 506704548071. The next prime is 506704548101. The reversal of 506704548096 is 690845407605.

506704548096 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 0 + 4 + 548 + 0 + 96 = 666.

It is a super-2 number, since 2×506704548096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4919461581 + ... + 4919461683.

It is an arithmetic number, because the mean of its divisors is an integer number (1927532880).

Almost surely, 2^506704548096 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 506704548096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832694204160).

506704548096 is an abundant number, since it is smaller than the sum of its proper divisors (1158683860224).

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

506704548096 is a wasteful number, since it uses less digits than its factorization.

506704548096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 506704548096 in words is "five hundred six billion, seven hundred four million, five hundred forty-eight thousand, ninety-six".