21982827420 has 72 divisors (see below), whose sum is σ = 67774412160. Its totient is φ = 5765984640.

The previous prime is 21982827397. The next prime is 21982827431. The reversal of 21982827420 is 2472828912.

It is a happy number.

21982827420 is a `hidden beast` number, since 219 + 8 + 2 + 8 + 2 + 7 + 420 = 666.

It is a super-3 number, since 3×21982827420³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990060 + ... + 1012019.

It is an arithmetic number, because the mean of its divisors is an integer number (941311280).

Almost surely, 2^21982827420 is an apocalyptic number.

21982827420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21982827420 is an abundant number, since it is smaller than the sum of its proper divisors (45791584740).

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

21982827420 is a wasteful number, since it uses less digits than its factorization.

21982827420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002155 (or 2002150 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21982827420 in words is "twenty-one billion, nine hundred eighty-two million, eight hundred twenty-seven thousand, four hundred twenty".