506896911360 has 1408 divisors, whose sum is σ = 2165719449600. Its totient is φ = 111365259264.

The previous prime is 506896911359. The next prime is 506896911361. The reversal of 506896911360 is 63119698605.

506896911360 is a `hidden beast` number, since 50 + 68 + 96 + 91 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (506896911359) and next prime (506896911361).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 506896911297 and 506896911306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506896911361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2273080209 + ... + 2273080431.

Almost surely, 2^506896911360 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 506896911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082859724800).

506896911360 is an abundant number, since it is smaller than the sum of its proper divisors (1658822538240).

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

506896911360 is an equidigital number, since it uses as much as digits as its factorization.

506896911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 506896911360 in words is "five hundred six billion, eight hundred ninety-six million, nine hundred eleven thousand, three hundred sixty".