51017227560 has 288 divisors, whose sum is σ = 188459074440. Its totient is φ = 11896740864.

The previous prime is 51017227553. The next prime is 51017227577. The reversal of 51017227560 is 6572271015.

51017227560 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 72 + 27 + 560 = 666.

51017227560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25581443364 + 25435784196 = 159942^2 + 159486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1674382 + ... + 1704578.

Almost surely, 2^51017227560 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 51017227560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94229537220).

51017227560 is an abundant number, since it is smaller than the sum of its proper divisors (137441846880).

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

51017227560 is a wasteful number, since it uses less digits than its factorization.

51017227560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30265 (or 30239 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 51017227560 its reverse (6572271015), we get a palindrome (57589498575).

The spelling of 51017227560 in words is "fifty-one billion, seventeen million, two hundred twenty-seven thousand, five hundred sixty".