51558080032 has 48 divisors (see below), whose sum is σ = 105385335552. Its totient is φ = 24803170560.

The previous prime is 51558080009. The next prime is 51558080053. The reversal of 51558080032 is 23008085515.

It is a super-2 number, since 2×51558080032² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51558079973 and 51558080000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21403 + ... + 321829.

It is an arithmetic number, because the mean of its divisors is an integer number (2195527824).

Almost surely, 2^51558080032 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 51558080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52692667776).

51558080032 is an abundant number, since it is smaller than the sum of its proper divisors (53827255520).

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

51558080032 is a wasteful number, since it uses less digits than its factorization.

51558080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300641 (or 300633 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 51558080032 in words is "fifty-one billion, five hundred fifty-eight million, eighty thousand, thirty-two".