211530400011 has 36 divisors (see below), whose sum is σ = 355472923104. Its totient is φ = 120859452000.

The previous prime is 211530399989. The next prime is 211530400013. The reversal of 211530400011 is 110004035112.

211530400011 is a `hidden beast` number, since 211 + 53 + 0 + 400 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 211530400011 - 2⁶ = 211530399947 is a prime.

It is a super-2 number, since 2×211530400011² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211530400013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4186881 + ... + 4237101.

It is an arithmetic number, because the mean of its divisors is an integer number (9874247864).

Almost surely, 2^211530400011 is an apocalyptic number.

211530400011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211530400011 is a deficient number, since it is larger than the sum of its proper divisors (143942523093).

211530400011 is a wasteful number, since it uses less digits than its factorization.

211530400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59792 (or 59782 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 211530400011 its reverse (110004035112), we get a palindrome (321534435123).

The spelling of 211530400011 in words is "two hundred eleven billion, five hundred thirty million, four hundred thousand, eleven".