65952403200 has 1080 divisors, whose sum is σ = 260832836880. Its totient is φ = 16411852800.

The previous prime is 65952403151. The next prime is 65952403207. The reversal of 65952403200 is 230425956.

65952403200 is a `hidden beast` number, since 6 + 5 + 95 + 240 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (65952403207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 616377547 + ... + 616377653.

It is an arithmetic number, because the mean of its divisors is an integer number (241511886).

Almost surely, 2^65952403200 is an apocalyptic number.

65952403200 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 65952403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130416418440).

65952403200 is an abundant number, since it is smaller than the sum of its proper divisors (194880433680).

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

65952403200 is a wasteful number, since it uses less digits than its factorization.

65952403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 65952403200 in words is "sixty-five billion, nine hundred fifty-two million, four hundred three thousand, two hundred".