27855217152 has 480 divisors, whose sum is σ = 96212413440. Its totient is φ = 7591034880.

The previous prime is 27855217151. The next prime is 27855217217. The reversal of 27855217152 is 25171255872.

27855217152 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 521 + 71 + 52 = 666.

It is a super-2 number, since 2×27855217152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27855217098 and 27855217107.

It is not an unprimeable number, because it can be changed into a prime (27855217151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88994148 + ... + 88994460.

It is an arithmetic number, because the mean of its divisors is an integer number (200442528).

Almost surely, 2^27855217152 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 27855217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48106206720).

27855217152 is an abundant number, since it is smaller than the sum of its proper divisors (68357196288).

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

27855217152 is a wasteful number, since it uses less digits than its factorization.

27855217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The spelling of 27855217152 in words is "twenty-seven billion, eight hundred fifty-five million, two hundred seventeen thousand, one hundred fifty-two".