65813983200 has 432 divisors, whose sum is σ = 265719242880. Its totient is φ = 15015490560.

The previous prime is 65813983189. The next prime is 65813983217. The reversal of 65813983200 is 238931856.

It is a happy number.

65813983200 is a `hidden beast` number, since 6 + 58 + 1 + 398 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 41680011 + ... + 41681589.

It is an arithmetic number, because the mean of its divisors is an integer number (615090840).

Almost surely, 2^65813983200 is an apocalyptic number.

65813983200 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 65813983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132859621440).

65813983200 is an abundant number, since it is smaller than the sum of its proper divisors (199905259680).

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

65813983200 is a wasteful number, since it uses less digits than its factorization.

65813983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65813983200 in words is "sixty-five billion, eight hundred thirteen million, nine hundred eighty-three thousand, two hundred".