51164777664 has 672 divisors, whose sum is σ = 201036326400. Its totient is φ = 12260505600.

The previous prime is 51164777663. The next prime is 51164777683. The reversal of 51164777664 is 46677746115.

51164777664 is a `hidden beast` number, since 511 + 64 + 7 + 7 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 51164777664.

It is not an unprimeable number, because it can be changed into a prime (51164777663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28251319 + ... + 28253129.

It is an arithmetic number, because the mean of its divisors is an integer number (299161200).

Almost surely, 2^51164777664 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 51164777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100518163200).

51164777664 is an abundant number, since it is smaller than the sum of its proper divisors (149871548736).

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

51164777664 is a wasteful number, since it uses less digits than its factorization.

51164777664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1847 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

It can be divided in two parts, 51164 and 777664, that added together give a palindrome (828828).

The spelling of 51164777664 in words is "fifty-one billion, one hundred sixty-four million, seven hundred seventy-seven thousand, six hundred sixty-four".