4211608506552 has 192 divisors, whose sum is σ = 12902811667200. Its totient is φ = 1233064166400.

The previous prime is 4211608506541. The next prime is 4211608506587. The reversal of 4211608506552 is 2556058061124.

4211608506552 is a `hidden beast` number, since 4 + 2 + 1 + 16 + 0 + 85 + 0 + 6 + 552 = 666.

It is a super-2 number, since 2×4211608506552² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4211608506498 and 4211608506507.

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 47 ways as a sum of consecutive naturals, for example, 206677 + ... + 2909627.

It is an arithmetic number, because the mean of its divisors is an integer number (67202144100).

Almost surely, 2^{4211608506552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211608506552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451405833600).

4211608506552 is an abundant number, since it is smaller than the sum of its proper divisors (8691203160648).

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

4211608506552 is a wasteful number, since it uses less digits than its factorization.

4211608506552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703066 (or 2703059 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 4211608506552 in words is "four trillion, two hundred eleven billion, six hundred eight million, five hundred six thousand, five hundred fifty-two".