21827138395608 has 288 divisors, whose sum is σ = 76445282309760. Its totient is φ = 5570910535680.

The previous prime is 21827138395589. The next prime is 21827138395649. The reversal of 21827138395608 is 80659383172812.

21827138395608 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 7 + 1 + 38 + 39 + 560 + 8 = 666.

It is a super-3 number, since 3×21827138395608³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6254185 + ... + 9097752.

It is an arithmetic number, because the mean of its divisors is an integer number (265435008020).

Almost surely, 2^{21827138395608} is an apocalyptic number.

21827138395608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21827138395608 is an abundant number, since it is smaller than the sum of its proper divisors (54618143914152).

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

21827138395608 is a wasteful number, since it uses less digits than its factorization.

21827138395608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15352007 (or 15351993 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 21827138395608 in words is "twenty-one trillion, eight hundred twenty-seven billion, one hundred thirty-eight million, three hundred ninety-five thousand, six hundred eight".