209752320960 has 1344 divisors, whose sum is σ = 962475494400. Its totient is φ = 41869467648.

The previous prime is 209752320959. The next prime is 209752320977. The reversal of 209752320960 is 69023257902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×209752320960² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283832271 + ... + 283833009.

It is an arithmetic number, because the mean of its divisors is an integer number (716127600).

Almost surely, 2^209752320960 is an apocalyptic number.

209752320960 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 209752320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481237747200).

209752320960 is an abundant number, since it is smaller than the sum of its proper divisors (752723173440).

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

209752320960 is a wasteful number, since it uses less digits than its factorization.

209752320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 209752320960 in words is "two hundred nine billion, seven hundred fifty-two million, three hundred twenty thousand, nine hundred sixty".