506081355595200 has 8064 divisors, whose sum is σ = 2617280711884800. Its totient is φ = 89436192768000.

The previous prime is 506081355595199. The next prime is 506081355595241. The reversal of 506081355595200 is 2595553180605.

It is a happy number.

506081355595200 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 8 + 1 + 35 + 559 + 52 + 0 + 0 = 666.

It is a super-2 number, since 2×506081355595200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 877090737312 + ... + 877090737888.

Almost surely, 2^{506081355595200} is an apocalyptic number.

506081355595200 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 506081355595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308640355942400).

506081355595200 is an abundant number, since it is smaller than the sum of its proper divisors (2111199356289600).

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

506081355595200 is a wasteful number, since it uses less digits than its factorization.

506081355595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 506081355595200 in words is "five hundred six trillion, eighty-one billion, three hundred fifty-five million, five hundred ninety-five thousand, two hundred".