209135534080 has 272 divisors, whose sum is σ = 579929406624. Its totient is φ = 71554826240.

The previous prime is 209135534033. The next prime is 209135534099. The reversal of 209135534080 is 80435531902.

It is a tau number, because it is divible by the number of its divisors (272).

It is a super-2 number, since 2×209135534080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61274454 + ... + 61277866.

Almost surely, 2^209135534080 is an apocalyptic number.

209135534080 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 209135534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289964703312).

209135534080 is an abundant number, since it is smaller than the sum of its proper divisors (370793872544).

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

209135534080 is an equidigital number, since it uses as much as digits as its factorization.

209135534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 209135534080 in words is "two hundred nine billion, one hundred thirty-five million, five hundred thirty-four thousand, eighty".