27938055600 has 1440 divisors, whose sum is σ = 129571706880. Its totient is φ = 5660928000.

The previous prime is 27938055553. The next prime is 27938055619. The reversal of 27938055600 is 655083972.

It is a happy number.

27938055600 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 80 + 5 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 213267535 + ... + 213267665.

It is an arithmetic number, because the mean of its divisors is an integer number (89980352).

Almost surely, 2^27938055600 is an apocalyptic number.

27938055600 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 27938055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64785853440).

27938055600 is an abundant number, since it is smaller than the sum of its proper divisors (101633651280).

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

27938055600 is a wasteful number, since it uses less digits than its factorization.

27938055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 27938055600 in words is "twenty-seven billion, nine hundred thirty-eight million, fifty-five thousand, six hundred".