51627663360 has 1568 divisors, whose sum is σ = 240664959360. Its totient is φ = 10319560704.

The previous prime is 51627663349. The next prime is 51627663383. The reversal of 51627663360 is 6336672615.

51627663360 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 7 + 6 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2717245431 + ... + 2717245449.

Almost surely, 2^51627663360 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 51627663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120332479680).

51627663360 is an abundant number, since it is smaller than the sum of its proper divisors (189037296000).

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

51627663360 is an equidigital number, since it uses as much as digits as its factorization.

51627663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 51627663360 in words is "fifty-one billion, six hundred twenty-seven million, six hundred sixty-three thousand, three hundred sixty".