65753545200 has 960 divisors, whose sum is σ = 265591001088. Its totient is φ = 13565952000.

The previous prime is 65753545171. The next prime is 65753545201. The reversal of 65753545200 is 254535756.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65753545201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 651025150 + ... + 651025250.

Almost surely, 2^65753545200 is an apocalyptic number.

65753545200 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 65753545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132795500544).

65753545200 is an abundant number, since it is smaller than the sum of its proper divisors (199837455888).

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

65753545200 is a wasteful number, since it uses less digits than its factorization.

65753545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 42.

The spelling of 65753545200 in words is "sixty-five billion, seven hundred fifty-three million, five hundred forty-five thousand, two hundred".