51269329008000 has 384 divisors, whose sum is σ = 185570815472640. Its totient is φ = 13564164096000.

The previous prime is 51269329007999. The next prime is 51269329008011. The reversal of 51269329008000 is 80092396215.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 16886280 + ... + 19689720.

It is an arithmetic number, because the mean of its divisors is an integer number (483257331960).

Almost surely, 2^{51269329008000} is an apocalyptic number.

51269329008000 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 51269329008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92785407736320).

51269329008000 is an abundant number, since it is smaller than the sum of its proper divisors (134301486464640).

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

51269329008000 is a wasteful number, since it uses less digits than its factorization.

51269329008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803603 (or 2803578 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 51269329008000 in words is "fifty-one trillion, two hundred sixty-nine billion, three hundred twenty-nine million, eight thousand".