21862276128 has 864 divisors, whose sum is σ = 84701635200. Its totient is φ = 5218836480.

The previous prime is 21862276069. The next prime is 21862276171. The reversal of 21862276128 is 82167226812.

21862276128 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 2 + 27 + 612 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 245643508 + ... + 245643596.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^21862276128 is an apocalyptic number.

21862276128 is a gapful number since it is divisible by the number (28) 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 21862276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42350817600).

21862276128 is an abundant number, since it is smaller than the sum of its proper divisors (62839359072).

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

21862276128 is a wasteful number, since it uses less digits than its factorization.

21862276128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

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

The spelling of 21862276128 in words is "twenty-one billion, eight hundred sixty-two million, two hundred seventy-six thousand, one hundred twenty-eight".