27217261656 has 224 divisors, whose sum is σ = 85247442000. Its totient is φ = 8085111552.

The previous prime is 27217261651. The next prime is 27217261663. The reversal of 27217261656 is 65616271272.

27217261656 is a `hidden beast` number, since 2 + 7 + 21 + 7 + 2 + 616 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27217261651) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2192475 + ... + 2204853.

Almost surely, 2^27217261656 is an apocalyptic number.

27217261656 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 27217261656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42623721000).

27217261656 is an abundant number, since it is smaller than the sum of its proper divisors (58030180344).

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

27217261656 is a wasteful number, since it uses less digits than its factorization.

27217261656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12426 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 27217261656 in words is "twenty-seven billion, two hundred seventeen million, two hundred sixty-one thousand, six hundred fifty-six".