211152531040 has 288 divisors, whose sum is σ = 600621467040. Its totient is φ = 69771018240.

The previous prime is 211152531017. The next prime is 211152531077. The reversal of 211152531040 is 40135251112.

211152531040 = T₃₆₂₂₅ + T₃₆₂₂₆ + ... + T₃₆₅₄₃.

211152531040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211152530996 and 211152531014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9533419 + ... + 9555541.

It is an arithmetic number, because the mean of its divisors is an integer number (2085491205).

Almost surely, 2^211152531040 is an apocalyptic number.

211152531040 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 211152531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300310733520).

211152531040 is an abundant number, since it is smaller than the sum of its proper divisors (389468936000).

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

211152531040 is a wasteful number, since it uses less digits than its factorization.

211152531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22206 (or 22187 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 211152531040 its reverse (40135251112), we get a palindrome (251287782152).

The spelling of 211152531040 in words is "two hundred eleven billion, one hundred fifty-two million, five hundred thirty-one thousand, forty".