211315312240160 has 96 divisors (see below), whose sum is σ = 507443771520000. Its totient is φ = 83135992642560.

The previous prime is 211315312240129. The next prime is 211315312240177. The reversal of 211315312240160 is 61042213513112.

It is a super-2 number, since 2×211315312240160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184468841 + ... + 185610839.

It is an arithmetic number, because the mean of its divisors is an integer number (5285872620000).

Almost surely, 2^{211315312240160} is an apocalyptic number.

211315312240160 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 211315312240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253721885760000).

211315312240160 is an abundant number, since it is smaller than the sum of its proper divisors (296128459279840).

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

211315312240160 is a wasteful number, since it uses less digits than its factorization.

211315312240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161034 (or 1161026 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 211315312240160 its reverse (61042213513112), we get a palindrome (272357525753272).

The spelling of 211315312240160 in words is "two hundred eleven trillion, three hundred fifteen billion, three hundred twelve million, two hundred forty thousand, one hundred sixty".