216753945600 has 528 divisors, whose sum is σ = 772693044480. Its totient is φ = 53408563200.

The previous prime is 216753945511. The next prime is 216753945601. The reversal of 216753945600 is 6549357612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 216753945600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216753945601) 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 47 ways as a sum of consecutive naturals, for example, 59825389 + ... + 59829011.

Almost surely, 2^216753945600 is an apocalyptic number.

216753945600 is a gapful number since it is divisible by the number (20) 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 216753945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386346522240).

216753945600 is an abundant number, since it is smaller than the sum of its proper divisors (555939098880).

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

216753945600 is a wasteful number, since it uses less digits than its factorization.

216753945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 216753945600 in words is "two hundred sixteen billion, seven hundred fifty-three million, nine hundred forty-five thousand, six hundred".