27878495960448 has 768 divisors, whose sum is σ = 99796147200000. Its totient is φ = 7629892816896.

The previous prime is 27878495960407. The next prime is 27878495960573. The reversal of 27878495960448 is 84406959487872.

It is a happy number.

27878495960448 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 84 + 9 + 5 + 96 + 0 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623671603 + ... + 623716301.

It is an arithmetic number, because the mean of its divisors is an integer number (129942900000).

Almost surely, 2^{27878495960448} is an apocalyptic number.

27878495960448 is a gapful number since it is divisible by the number (28) 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 27878495960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49898073600000).

27878495960448 is an abundant number, since it is smaller than the sum of its proper divisors (71917651239552).

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

27878495960448 is a wasteful number, since it uses less digits than its factorization.

27878495960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44892 (or 44867 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 81.

The spelling of 27878495960448 in words is "twenty-seven trillion, eight hundred seventy-eight billion, four hundred ninety-five million, nine hundred sixty thousand, four hundred forty-eight".