65053497600 has 1620 divisors, whose sum is σ = 302855905044. Its totient is φ = 13655900160.

The previous prime is 65053497589. The next prime is 65053497601. The reversal of 65053497600 is 679435056.

65053497600 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 34 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16257024 + 65037240576 = 4032^2 + 255024^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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 (65053497601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 330220702 + ... + 330220898.

Almost surely, 2^65053497600 is an apocalyptic number.

65053497600 is a gapful number since it is divisible by the number (60) 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 65053497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151427952522).

65053497600 is an abundant number, since it is smaller than the sum of its proper divisors (237802407444).

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

65053497600 is a wasteful number, since it uses less digits than its factorization.

65053497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 65053497600 in words is "sixty-five billion, fifty-three million, four hundred ninety-seven thousand, six hundred".