65556481600 has 189 divisors, whose sum is σ = 166751323977. Its totient is φ = 25366394880.

The previous prime is 65556481589. The next prime is 65556481633. The reversal of 65556481600 is 618465556.

The square root of 65556481600 is 256040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4096576 + 65552385024 = 2024^2 + 256032^2 .

It is a super-2 number, since 2×65556481600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 378939114 + ... + 378939286.

Almost surely, 2^65556481600 is an apocalyptic number.

65556481600 is the 256040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65556481600

65556481600 is an abundant number, since it is smaller than the sum of its proper divisors (101194842377).

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

65556481600 is an equidigital number, since it uses as much as digits as its factorization.

65556481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 65556481600 in words is "sixty-five billion, five hundred fifty-six million, four hundred eighty-one thousand, six hundred".