51167367664 has 80 divisors (see below), whose sum is σ = 114075198720. Its totient is φ = 21778997760.

The previous prime is 51167367637. The next prime is 51167367731. The reversal of 51167367664 is 46676376115.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29730324 + ... + 29732044.

It is an arithmetic number, because the mean of its divisors is an integer number (1425939984).

Almost surely, 2^51167367664 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 51167367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57037599360).

51167367664 is an abundant number, since it is smaller than the sum of its proper divisors (62907831056).

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

51167367664 is a wasteful number, since it uses less digits than its factorization.

51167367664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The spelling of 51167367664 in words is "fifty-one billion, one hundred sixty-seven million, three hundred sixty-seven thousand, six hundred sixty-four".