51510115566 has 768 divisors, whose sum is σ = 166363545600. Its totient is φ = 11446769664.

The previous prime is 51510115537. The next prime is 51510115567. The reversal of 51510115566 is 66551101515.

It is a happy number.

51510115566 is a `hidden beast` number, since 51 + 51 + 0 + 1 + 1 + 556 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51510115566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51510115567) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 620603761 + ... + 620603843.

It is an arithmetic number, because the mean of its divisors is an integer number (216619200).

Almost surely, 2^51510115566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51510115566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83181772800).

51510115566 is an abundant number, since it is smaller than the sum of its proper divisors (114853430034).

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

51510115566 is a wasteful number, since it uses less digits than its factorization.

51510115566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 51510115566 in words is "fifty-one billion, five hundred ten million, one hundred fifteen thousand, five hundred sixty-six".