65000107200 has 504 divisors, whose sum is σ = 253880185152. Its totient is φ = 14509393920.

The previous prime is 65000107177. The next prime is 65000107217. The reversal of 65000107200 is 270100056.

It is a super-2 number, since 2×65000107200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 71 ways as a sum of consecutive naturals, for example, 10110387 + ... + 10116813.

Almost surely, 2^65000107200 is an apocalyptic number.

65000107200 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 65000107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126940092576).

65000107200 is an abundant number, since it is smaller than the sum of its proper divisors (188880077952).

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

65000107200 is a wasteful number, since it uses less digits than its factorization.

65000107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 65000107200 its reverse (270100056), we get a palindrome (65270207256).

The spelling of 65000107200 in words is "sixty-five billion, one hundred seven thousand, two hundred".