211805483904 has 1536 divisors, whose sum is σ = 828843840000. Its totient is φ = 52802813952.

The previous prime is 211805483881. The next prime is 211805483941. The reversal of 211805483904 is 409384508112.

211805483904 is a `hidden beast` number, since 2 + 1 + 1 + 80 + 5 + 483 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 211805483904.

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, 3589923427 + ... + 3589923485.

It is an arithmetic number, because the mean of its divisors is an integer number (539611875).

Almost surely, 2^211805483904 is an apocalyptic number.

211805483904 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 211805483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414421920000).

211805483904 is an abundant number, since it is smaller than the sum of its proper divisors (617038356096).

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

211805483904 is a wasteful number, since it uses less digits than its factorization.

211805483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 211805483904 in words is "two hundred eleven billion, eight hundred five million, four hundred eighty-three thousand, nine hundred four".