65352705600 has 1008 divisors, whose sum is σ = 281364098688. Its totient is φ = 12958433280.

The previous prime is 65352705599. The next prime is 65352705619. The reversal of 65352705600 is 650725356.

It is a super-2 number, since 2×65352705600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 96532462 + ... + 96533138.

Almost surely, 2^65352705600 is an apocalyptic number.

65352705600 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 65352705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140682049344).

65352705600 is an abundant number, since it is smaller than the sum of its proper divisors (216011393088).

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

65352705600 is a wasteful number, since it uses less digits than its factorization.

65352705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 65352705600 in words is "sixty-five billion, three hundred fifty-two million, seven hundred five thousand, six hundred".