27922855680 has 576 divisors, whose sum is σ = 104077209600. Its totient is φ = 7080099840.

The previous prime is 27922855673. The next prime is 27922855771. The reversal of 27922855680 is 8655822972.

It is a happy number.

27922855680 is a `hidden beast` number, since 2 + 7 + 9 + 2 + 2 + 8 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×27922855680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 71780926 + ... + 71781314.

It is an arithmetic number, because the mean of its divisors is an integer number (180689600).

Almost surely, 2^27922855680 is an apocalyptic number.

27922855680 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 27922855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52038604800).

27922855680 is an abundant number, since it is smaller than the sum of its proper divisors (76154353920).

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

27922855680 is a wasteful number, since it uses less digits than its factorization.

27922855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 27922855680 in words is "twenty-seven billion, nine hundred twenty-two million, eight hundred fifty-five thousand, six hundred eighty".