51232839840 has 1152 divisors, whose sum is σ = 224550144000. Its totient is φ = 10567065600.

The previous prime is 51232839829. The next prime is 51232839841. The reversal of 51232839840 is 4893823215.

51232839840 is a `hidden beast` number, since 512 + 3 + 2 + 8 + 3 + 98 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51232839841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507255790 + ... + 507255890.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 2^51232839840 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 51232839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072000).

51232839840 is an abundant number, since it is smaller than the sum of its proper divisors (173317304160).

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

51232839840 is a wasteful number, since it uses less digits than its factorization.

51232839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 51232839840 in words is "fifty-one billion, two hundred thirty-two million, eight hundred thirty-nine thousand, eight hundred forty".