211530000024 has 288 divisors, whose sum is σ = 703040644800. Its totient is φ = 57130738560.

The previous prime is 211530000007. The next prime is 211530000107. The reversal of 211530000024 is 420000035112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211529999961 and 211530000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32909499 + ... + 32915925.

It is an arithmetic number, because the mean of its divisors is an integer number (2441113350).

Almost surely, 2^211530000024 is an apocalyptic number.

211530000024 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 211530000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351520322400).

211530000024 is an abundant number, since it is smaller than the sum of its proper divisors (491510644776).

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

211530000024 is a wasteful number, since it uses less digits than its factorization.

211530000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 211530000024 its reverse (420000035112), we get a palindrome (631530035136).

The spelling of 211530000024 in words is "two hundred eleven billion, five hundred thirty million, twenty-four", and thus it is an aban number.