536680352160 has 1296 divisors, whose sum is σ = 2124136155960. Its totient is φ = 127919554560.

The previous prime is 536680352123. The next prime is 536680352161. The reversal of 536680352160 is 61253086635.

536680352160 is a `hidden beast` number, since 5 + 3 + 6 + 68 + 0 + 3 + 521 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 55482860304 + 481197491856 = 235548^2 + 693684^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×536680352160³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (536680352161) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8798038530 + ... + 8798038590.

Almost surely, 2^536680352160 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 536680352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062068077980).

536680352160 is an abundant number, since it is smaller than the sum of its proper divisors (1587455803800).

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

536680352160 is an equidigital number, since it uses as much as digits as its factorization.

536680352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 536680352160 in words is "five hundred thirty-six billion, six hundred eighty million, three hundred fifty-two thousand, one hundred sixty".