65558020320 has 216 divisors, whose sum is σ = 242250391656. Its totient is φ = 16137298944.

The previous prime is 65558020309. The next prime is 65558020327. The reversal of 65558020320 is 2302085556.

It is a happy number.

65558020320 is a `hidden beast` number, since 6 + 55 + 580 + 2 + 0 + 3 + 20 = 666.

It is a super-3 number, since 3×65558020320³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65558020327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108667 + ... + 378053.

It is an arithmetic number, because the mean of its divisors is an integer number (1121529591).

Almost surely, 2^65558020320 is an apocalyptic number.

65558020320 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 65558020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121125195828).

65558020320 is an abundant number, since it is smaller than the sum of its proper divisors (176692371336).

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

65558020320 is a wasteful number, since it uses less digits than its factorization.

65558020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269434 (or 269410 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 65558020320 in words is "sixty-five billion, five hundred fifty-eight million, twenty thousand, three hundred twenty".