211256515056340 has 192 divisors, whose sum is σ = 501662407680000. Its totient is φ = 74187983669760.

The previous prime is 211256515056337. The next prime is 211256515056413. The reversal of 211256515056340 is 43650515652112.

It is a happy number.

It is a super-2 number, since 2×211256515056340² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1949184271 + ... + 1949292649.

It is an arithmetic number, because the mean of its divisors is an integer number (2612825040000).

Almost surely, 2^{211256515056340} is an apocalyptic number.

211256515056340 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 211256515056340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250831203840000).

211256515056340 is an abundant number, since it is smaller than the sum of its proper divisors (290405892623660).

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

211256515056340 is a wasteful number, since it uses less digits than its factorization.

211256515056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112590 (or 112588 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 211256515056340 in words is "two hundred eleven trillion, two hundred fifty-six billion, five hundred fifteen million, fifty-six thousand, three hundred forty".