51166241280 has 960 divisors, whose sum is σ = 223555977216. Its totient is φ = 10506240000.

The previous prime is 51166241251. The next prime is 51166241293. The reversal of 51166241280 is 8214266115.

It is a happy number.

51166241280 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 624 + 1 + 28 + 0 = 666.

51166241280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 267885985 + ... + 267886175.

Almost surely, 2^51166241280 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 51166241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111777988608).

51166241280 is an abundant number, since it is smaller than the sum of its proper divisors (172389735936).

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

51166241280 is a wasteful number, since it uses less digits than its factorization.

51166241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51166241280 in words is "fifty-one billion, one hundred sixty-six million, two hundred forty-one thousand, two hundred eighty".