65118412800 has 1008 divisors, whose sum is σ = 274657718400. Its totient is φ = 14739701760.

The previous prime is 65118412789. The next prime is 65118412813. The reversal of 65118412800 is 821481156.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632217549 + ... + 632217651.

Almost surely, 2^65118412800 is an apocalyptic number.

65118412800 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 65118412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137328859200).

65118412800 is an abundant number, since it is smaller than the sum of its proper divisors (209539305600).

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

65118412800 is a wasteful number, since it uses less digits than its factorization.

65118412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 65118412800 its reverse (821481156), we get a palindrome (65939893956).

The spelling of 65118412800 in words is "sixty-five billion, one hundred eighteen million, four hundred twelve thousand, eight hundred".