27940978252800 has 1584 divisors, whose sum is σ = 107213846437152. Its totient is φ = 7204582195200.

The previous prime is 27940978252777. The next prime is 27940978252907. The reversal of 27940978252800 is 825287904972.

27940978252800 is a `hidden beast` number, since 2 + 79 + 409 + 7 + 82 + 5 + 2 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53629516540 + ... + 53629517060.

Almost surely, 2^{27940978252800} is an apocalyptic number.

27940978252800 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 27940978252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53606923218576).

27940978252800 is an abundant number, since it is smaller than the sum of its proper divisors (79272868184352).

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

27940978252800 is a wasteful number, since it uses less digits than its factorization.

27940978252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27940978252800 in words is "twenty-seven trillion, nine hundred forty billion, nine hundred seventy-eight million, two hundred fifty-two thousand, eight hundred".