51058175040 has 280 divisors, whose sum is σ = 183671916120. Its totient is φ = 13461921792.

The previous prime is 51058175039. The next prime is 51058175059. The reversal of 51058175040 is 4057185015.

51058175040 is a `hidden beast` number, since 5 + 1 + 0 + 581 + 75 + 0 + 4 + 0 = 666.

51058175040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1111288896 + 49946886144 = 33336^2 + 223488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51058174986 and 51058175004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2295814 + ... + 2317946.

It is an arithmetic number, because the mean of its divisors is an integer number (655971129).

Almost surely, 2^51058175040 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 51058175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91835958060).

51058175040 is an abundant number, since it is smaller than the sum of its proper divisors (132613741080).

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

51058175040 is a wasteful number, since it uses less digits than its factorization.

51058175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22251 (or 22232 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 51058175040 in words is "fifty-one billion, fifty-eight million, one hundred seventy-five thousand, forty".