27882795508656 has 160 divisors (see below), whose sum is σ = 79952574493440. Its totient is φ = 8301763276800.

The previous prime is 27882795508649. The next prime is 27882795508681. The reversal of 27882795508656 is 65680559728872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59359836 + ... + 59827716.

It is an arithmetic number, because the mean of its divisors is an integer number (499703590584).

Almost surely, 2^{27882795508656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27882795508656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39976287246720).

27882795508656 is an abundant number, since it is smaller than the sum of its proper divisors (52069778984784).

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

27882795508656 is a wasteful number, since it uses less digits than its factorization.

27882795508656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469875 (or 469869 counting only the distinct ones).

The product of its (nonzero) digits is 4064256000, while the sum is 78.

The spelling of 27882795508656 in words is "twenty-seven trillion, eight hundred eighty-two billion, seven hundred ninety-five million, five hundred eight thousand, six hundred fifty-six".