51345565564220 has 96 divisors (see below), whose sum is σ = 112273508785536. Its totient is φ = 19707553382400.

The previous prime is 51345565564219. The next prime is 51345565564283. The reversal of 51345565564220 is 2246556554315.

It is a super-2 number, since 2×51345565564220² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285644092 + ... + 1285684028.

It is an arithmetic number, because the mean of its divisors is an integer number (1169515716516).

Almost surely, 2^{51345565564220} 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 51345565564220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56136754392768).

51345565564220 is an abundant number, since it is smaller than the sum of its proper divisors (60927943221316).

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

51345565564220 is a wasteful number, since it uses less digits than its factorization.

51345565564220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65751 (or 65749 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 53.

The spelling of 51345565564220 in words is "fifty-one trillion, three hundred forty-five billion, five hundred sixty-five million, five hundred sixty-four thousand, two hundred twenty".