21886216128 has 252 divisors, whose sum is σ = 76817661960. Its totient is φ = 5923943424.

The previous prime is 21886216117. The next prime is 21886216139. The reversal of 21886216128 is 82161268812.

21886216128 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 6 + 21 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21886216117) and next prime (21886216139).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 515850 + ... + 556662.

Almost surely, 2^21886216128 is an apocalyptic number.

21886216128 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 21886216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38408830980).

21886216128 is an abundant number, since it is smaller than the sum of its proper divisors (54931445832).

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

21886216128 is a wasteful number, since it uses less digits than its factorization.

21886216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40864 (or 40844 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 21886216128 in words is "twenty-one billion, eight hundred eighty-six million, two hundred sixteen thousand, one hundred twenty-eight".