65314220400 has 1440 divisors, whose sum is σ = 285843038208. Its totient is φ = 14108774400.

The previous prime is 65314220369. The next prime is 65314220407. The reversal of 65314220400 is 402241356.

65314220400 is a `hidden beast` number, since 6 + 5 + 31 + 4 + 220 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65314220407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 514285137 + ... + 514285263.

Almost surely, 2^65314220400 is an apocalyptic number.

65314220400 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 65314220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142921519104).

65314220400 is an abundant number, since it is smaller than the sum of its proper divisors (220528817808).

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

65314220400 is a wasteful number, since it uses less digits than its factorization.

65314220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 65314220400 its reverse (402241356), we get a palindrome (65716461756).

The spelling of 65314220400 in words is "sixty-five billion, three hundred fourteen million, two hundred twenty thousand, four hundred".