27773982720 has 288 divisors, whose sum is σ = 105014342160. Its totient is φ = 6732840960.

The previous prime is 27773982707. The next prime is 27773982739. The reversal of 27773982720 is 2728937772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27773982720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000062 + ... + 1027458.

Almost surely, 2^27773982720 is an apocalyptic number.

27773982720 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 27773982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52507171080).

27773982720 is an abundant number, since it is smaller than the sum of its proper divisors (77240359440).

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

27773982720 is a wasteful number, since it uses less digits than its factorization.

27773982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27441 (or 27418 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 27773982720 in words is "twenty-seven billion, seven hundred seventy-three million, nine hundred eighty-two thousand, seven hundred twenty".