51226441728 has 768 divisors, whose sum is σ = 184923648000. Its totient is φ = 12209356800.

The previous prime is 51226441723. The next prime is 51226441729. The reversal of 51226441728 is 82714462215.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×51226441728² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 51226441728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51226441723) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 368535483 + ... + 368535621.

It is an arithmetic number, because the mean of its divisors is an integer number (240786000).

Almost surely, 2^51226441728 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 51226441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824000).

51226441728 is an abundant number, since it is smaller than the sum of its proper divisors (133697206272).

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

51226441728 is a wasteful number, since it uses less digits than its factorization.

51226441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 51226441728 in words is "fifty-one billion, two hundred twenty-six million, four hundred forty-one thousand, seven hundred twenty-eight".