211669538304 has 480 divisors, whose sum is σ = 731191950720. Its totient is φ = 53917581312.

The previous prime is 211669538299. The next prime is 211669538317. The reversal of 211669538304 is 403835966112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24305919 + ... + 24314625.

It is an arithmetic number, because the mean of its divisors is an integer number (1523316564).

Almost surely, 2^211669538304 is an apocalyptic number.

211669538304 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 211669538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365595975360).

211669538304 is an abundant number, since it is smaller than the sum of its proper divisors (519522412416).

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

211669538304 is a wasteful number, since it uses less digits than its factorization.

211669538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 211669538304 in words is "two hundred eleven billion, six hundred sixty-nine million, five hundred thirty-eight thousand, three hundred four".