27778936320 has 960 divisors, whose sum is σ = 110307225600. Its totient is φ = 6423183360.

The previous prime is 27778936291. The next prime is 27778936321. The reversal of 27778936320 is 2363987772.

27778936320 is a `hidden beast` number, since 277 + 7 + 8 + 9 + 363 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27778936321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312122836 + ... + 312122924.

It is an arithmetic number, because the mean of its divisors is an integer number (114903360).

Almost surely, 2^27778936320 is an apocalyptic number.

27778936320 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 27778936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153612800).

27778936320 is an abundant number, since it is smaller than the sum of its proper divisors (82528289280).

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

27778936320 is a wasteful number, since it uses less digits than its factorization.

27778936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 27778936320 in words is "twenty-seven billion, seven hundred seventy-eight million, nine hundred thirty-six thousand, three hundred twenty".