51617350656 has 176 divisors, whose sum is σ = 153151627200. Its totient is φ = 17173610496.

The previous prime is 51617350633. The next prime is 51617350657. The reversal of 51617350656 is 65605371615.

51617350656 is a `hidden beast` number, since 516 + 1 + 73 + 5 + 0 + 65 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (51617350657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18218616 + ... + 18221448.

It is an arithmetic number, because the mean of its divisors is an integer number (870179700).

Almost surely, 2^51617350656 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 51617350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76575813600).

51617350656 is an abundant number, since it is smaller than the sum of its proper divisors (101534276544).

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

51617350656 is a wasteful number, since it uses less digits than its factorization.

51617350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 51617350656 in words is "fifty-one billion, six hundred seventeen million, three hundred fifty thousand, six hundred fifty-six".