27572122656 has 480 divisors, whose sum is σ = 93437245440. Its totient is φ = 7900913664.

The previous prime is 27572122649. The next prime is 27572122657. The reversal of 27572122656 is 65622127572.

27572122656 is a `hidden beast` number, since 2 + 7 + 572 + 1 + 2 + 26 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (27572122657) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72749475 + ... + 72749853.

It is an arithmetic number, because the mean of its divisors is an integer number (194660928).

Almost surely, 2^27572122656 is an apocalyptic number.

27572122656 is a gapful number since it is divisible by the number (26) 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 27572122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46718622720).

27572122656 is an abundant number, since it is smaller than the sum of its proper divisors (65865122784).

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

27572122656 is a wasteful number, since it uses less digits than its factorization.

27572122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 27572122656 in words is "twenty-seven billion, five hundred seventy-two million, one hundred twenty-two thousand, six hundred fifty-six".