209008242151584 has 96 divisors (see below), whose sum is σ = 551357659915776. Its totient is φ = 69325289752320.

The previous prime is 209008242151567. The next prime is 209008242151591. The reversal of 209008242151584 is 485151242800902.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99982149 + ... + 102051195.

It is an arithmetic number, because the mean of its divisors is an integer number (5743308957456).

Almost surely, 2^{209008242151584} is an apocalyptic number.

209008242151584 is a gapful number since it is divisible by the number (24) 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 209008242151584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275678829957888).

209008242151584 is an abundant number, since it is smaller than the sum of its proper divisors (342349417764192).

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

209008242151584 is a wasteful number, since it uses less digits than its factorization.

209008242151584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074258 (or 2074250 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 209008242151584 in words is "two hundred nine trillion, eight billion, two hundred forty-two million, one hundred fifty-one thousand, five hundred eighty-four".