51329376000 has 1728 divisors, whose sum is σ = 233990055936. Its totient is φ = 10948608000.

The previous prime is 51329375953. The next prime is 51329376031. The reversal of 51329376000 is 67392315.

51329376000 is a `hidden beast` number, since 5 + 13 + 2 + 9 + 37 + 600 + 0 = 666.

51329376000 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 (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1251935980 + ... + 1251936020.

It is an arithmetic number, because the mean of its divisors is an integer number (135410912).

Almost surely, 2^51329376000 is an apocalyptic number.

51329376000 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 51329376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116995027968).

51329376000 is an abundant number, since it is smaller than the sum of its proper divisors (182660679936).

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

51329376000 is an equidigital number, since it uses as much as digits as its factorization.

51329376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 51329376000 in words is "fifty-one billion, three hundred twenty-nine million, three hundred seventy-six thousand".