27861338215620 has 576 divisors, whose sum is σ = 104322272011776. Its totient is φ = 5861137121280.

The previous prime is 27861338215583. The next prime is 27861338215661. The reversal of 27861338215620 is 2651283316872.

27861338215620 is a `hidden beast` number, since 2 + 7 + 8 + 6 + 1 + 3 + 3 + 8 + 2 + 1 + 5 + 620 = 666.

It is a super-2 number, since 2×27861338215620² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 11701526830 + ... + 11701529210.

It is an arithmetic number, because the mean of its divisors is an integer number (181115055576).

Almost surely, 2^{27861338215620} is an apocalyptic number.

27861338215620 is a gapful number since it is divisible by the number (20) 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 27861338215620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52161136005888).

27861338215620 is an abundant number, since it is smaller than the sum of its proper divisors (76460933796156).

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

27861338215620 is a wasteful number, since it uses less digits than its factorization.

27861338215620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27861338215620 in words is "twenty-seven trillion, eight hundred sixty-one billion, three hundred thirty-eight million, two hundred fifteen thousand, six hundred twenty".