65484871200 has 720 divisors, whose sum is σ = 281790964224. Its totient is φ = 14482022400.

The previous prime is 65484871163. The next prime is 65484871201. The reversal of 65484871200 is 217848456.

65484871200 is a `hidden beast` number, since 6 + 5 + 48 + 487 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (65484871201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14059272 + ... + 14063928.

Almost surely, 2^65484871200 is an apocalyptic number.

65484871200 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 65484871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140895482112).

65484871200 is an abundant number, since it is smaller than the sum of its proper divisors (216306093024).

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

65484871200 is a wasteful number, since it uses less digits than its factorization.

65484871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 65484871200 in words is "sixty-five billion, four hundred eighty-four million, eight hundred seventy-one thousand, two hundred".