212005563840 has 1176 divisors, whose sum is σ = 933136403472. Its totient is φ = 45566115840.

The previous prime is 212005563829. The next prime is 212005563859. The reversal of 212005563840 is 48365500212.

212005563840 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 556 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212005563795 and 212005563804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 194321695 + ... + 194322785.

Almost surely, 2^212005563840 is an apocalyptic number.

212005563840 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 212005563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466568201736).

212005563840 is an abundant number, since it is smaller than the sum of its proper divisors (721130839632).

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

212005563840 is a wasteful number, since it uses less digits than its factorization.

212005563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 212005563840 in words is "two hundred twelve billion, five million, five hundred sixty-three thousand, eight hundred forty".