27056719872 has 768 divisors, whose sum is σ = 104203008000. Its totient is φ = 6736379904.

The previous prime is 27056719867. The next prime is 27056719873. The reversal of 27056719872 is 27891765072.

It is a happy number.

27056719872 is a `hidden beast` number, since 2 + 7 + 0 + 567 + 1 + 9 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27056719873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95606643 + ... + 95606925.

It is an arithmetic number, because the mean of its divisors is an integer number (135681000).

Almost surely, 2^27056719872 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 27056719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101504000).

27056719872 is an abundant number, since it is smaller than the sum of its proper divisors (77146288128).

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

27056719872 is a wasteful number, since it uses less digits than its factorization.

27056719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 27056719872 in words is "twenty-seven billion, fifty-six million, seven hundred nineteen thousand, eight hundred seventy-two".