51166780704 has 288 divisors, whose sum is σ = 162826372800. Its totient is φ = 15624161280.

The previous prime is 51166780673. The next prime is 51166780733. The reversal of 51166780704 is 40708766115.

51166780704 is a `hidden beast` number, since 511 + 6 + 67 + 8 + 0 + 70 + 4 = 666.

51166780704 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 (288).

It is a super-2 number, since 2×51166780704² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51166780704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20294964 + ... + 20297484.

It is an arithmetic number, because the mean of its divisors is an integer number (565369350).

Almost surely, 2^51166780704 is an apocalyptic number.

51166780704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51166780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81413186400).

51166780704 is an abundant number, since it is smaller than the sum of its proper divisors (111659592096).

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

51166780704 is a wasteful number, since it uses less digits than its factorization.

51166780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51166780704 in words is "fifty-one billion, one hundred sixty-six million, seven hundred eighty thousand, seven hundred four".