51352129920 has 1024 divisors, whose sum is σ = 219340800000. Its totient is φ = 9913466880.

The previous prime is 51352129849. The next prime is 51352129931. The reversal of 51352129920 is 2992125315.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 102909831 + ... + 102910329.

It is an arithmetic number, because the mean of its divisors is an integer number (214200000).

Almost surely, 2^51352129920 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 51352129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400000).

51352129920 is an abundant number, since it is smaller than the sum of its proper divisors (167988670080).

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

51352129920 is a wasteful number, since it uses less digits than its factorization.

51352129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 51352129920 in words is "fifty-one billion, three hundred fifty-two million, one hundred twenty-nine thousand, nine hundred twenty".