21877808826384 has 945 divisors, whose sum is σ = 77571799529133. Its totient is φ = 5956801627392.

The previous prime is 21877808826353. The next prime is 21877808826451. The reversal of 21877808826384 is 48362880877812.

The square root of 21877808826384 is 4677372.

It is a perfect power (a square), and thus also a powerful number.

21877808826384 is a `hidden beast` number, since 2 + 1 + 8 + 77 + 80 + 88 + 26 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1439452851984 + 20438355974400 = 1199772^2 + 4520880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 188 ways as a sum of consecutive naturals, for example, 81330144202 + ... + 81330144470.

Almost surely, 2^{21877808826384} is an apocalyptic number.

21877808826384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21877808826384 is the 4677372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21877808826384

21877808826384 is an abundant number, since it is smaller than the sum of its proper divisors (55693990702749).

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

21877808826384 is an frugal number, since it uses more digits than its factorization.

21877808826384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 21877808826384 in words is "twenty-one trillion, eight hundred seventy-seven billion, eight hundred eight million, eight hundred twenty-six thousand, three hundred eighty-four".