51167232000 has 432 divisors, whose sum is σ = 185005849392. Its totient is φ = 13605273600.

The previous prime is 51167231993. The next prime is 51167232007. The reversal of 51167232000 is 23276115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51167231993) and next prime (51167232007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51167232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147455827 + ... + 147456173.

It is an arithmetic number, because the mean of its divisors is an integer number (428254281).

Almost surely, 2^51167232000 is an apocalyptic number.

51167232000 is a gapful number since it is divisible by the number (50) 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 51167232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92502924696).

51167232000 is an abundant number, since it is smaller than the sum of its proper divisors (133838617392).

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

51167232000 is an frugal number, since it uses more digits than its factorization.

51167232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 51167232000 in words is "fifty-one billion, one hundred sixty-seven million, two hundred thirty-two thousand".