51255596128 has 72 divisors (see below), whose sum is σ = 111094089624. Its totient is φ = 23276760320.

The previous prime is 51255596123. The next prime is 51255596129. The reversal of 51255596128 is 82169555215.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×51255596128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51255596123) 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 11 ways as a sum of consecutive naturals, for example, 46722876 + ... + 46723972.

It is an arithmetic number, because the mean of its divisors is an integer number (1542973467).

Almost surely, 2^51255596128 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 51255596128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55547044812).

51255596128 is an abundant number, since it is smaller than the sum of its proper divisors (59838493496).

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

51255596128 is an frugal number, since it uses more digits than its factorization.

51255596128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 1110 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 49.

The spelling of 51255596128 in words is "fifty-one billion, two hundred fifty-five million, five hundred ninety-six thousand, one hundred twenty-eight".