209990641560000 has 2240 divisors, whose sum is σ = 859352359219200. Its totient is φ = 44152086528000.

The previous prime is 209990641559929. The next prime is 209990641560053. The reversal of 209990641560000 is 65146099902.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 132989639211 + ... + 132989640789.

It is an arithmetic number, because the mean of its divisors is an integer number (383639446080).

Almost surely, 2^{209990641560000} is an apocalyptic number.

209990641560000 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 209990641560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429676179609600).

209990641560000 is an abundant number, since it is smaller than the sum of its proper divisors (649361717659200).

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

209990641560000 is a wasteful number, since it uses less digits than its factorization.

209990641560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 209990641560000 in words is "two hundred nine trillion, nine hundred ninety billion, six hundred forty-one million, five hundred sixty thousand".