211522425440 has 96 divisors (see below), whose sum is σ = 505003403520. Its totient is φ = 83715840000.

The previous prime is 211522425407. The next prime is 211522425467. The reversal of 211522425440 is 44524225112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211522425397 and 211522425406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31524806 + ... + 31531514.

It is an arithmetic number, because the mean of its divisors is an integer number (5260452120).

Almost surely, 2^211522425440 is an apocalyptic number.

211522425440 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 211522425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252501701760).

211522425440 is an abundant number, since it is smaller than the sum of its proper divisors (293480978080).

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

211522425440 is a wasteful number, since it uses less digits than its factorization.

211522425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The spelling of 211522425440 in words is "two hundred eleven billion, five hundred twenty-two million, four hundred twenty-five thousand, four hundred forty".