51766010820 has 192 divisors, whose sum is σ = 170670447360. Its totient is φ = 12981049344.

The previous prime is 51766010651. The next prime is 51766010839. The reversal of 51766010820 is 2801066715.

51766010820 is a `hidden beast` number, since 517 + 6 + 60 + 1 + 0 + 82 + 0 = 666.

51766010820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 17504782 + ... + 17507738.

It is an arithmetic number, because the mean of its divisors is an integer number (888908580).

Almost surely, 2^51766010820 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 51766010820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85335223680).

51766010820 is an abundant number, since it is smaller than the sum of its proper divisors (118904436540).

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

51766010820 is a wasteful number, since it uses less digits than its factorization.

51766010820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51766010820 in words is "fifty-one billion, seven hundred sixty-six million, ten thousand, eight hundred twenty".