21820053150 has 288 divisors, whose sum is σ = 72033960960. Its totient is φ = 4623816960.

The previous prime is 21820053137. The next prime is 21820053221. The reversal of 21820053150 is 5135002812.

It is a happy number.

21820053150 is a `hidden beast` number, since 2 + 1 + 82 + 0 + 0 + 531 + 50 = 666.

It is a super-2 number, since 2×21820053150² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 2809072 + ... + 2816828.

It is an arithmetic number, because the mean of its divisors is an integer number (250117920).

Almost surely, 2^21820053150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21820053150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36016980480).

21820053150 is an abundant number, since it is smaller than the sum of its proper divisors (50213907810).

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

21820053150 is a wasteful number, since it uses less digits than its factorization.

21820053150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 21820053150 its reverse (5135002812), we get a palindrome (26955055962).

The spelling of 21820053150 in words is "twenty-one billion, eight hundred twenty million, fifty-three thousand, one hundred fifty".