65853820800 has 768 divisors, whose sum is σ = 259840512000. Its totient is φ = 16240435200.

The previous prime is 65853820787. The next prime is 65853820801. The reversal of 65853820800 is 802835856.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65853820801) 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 95 ways as a sum of consecutive naturals, for example, 61602666 + ... + 61603734.

It is an arithmetic number, because the mean of its divisors is an integer number (338334000).

Almost surely, 2^65853820800 is an apocalyptic number.

65853820800 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 65853820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129920256000).

65853820800 is an abundant number, since it is smaller than the sum of its proper divisors (193986691200).

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

65853820800 is a wasteful number, since it uses less digits than its factorization.

65853820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 65853820800 in words is "sixty-five billion, eight hundred fifty-three million, eight hundred twenty thousand, eight hundred".