51087335040 has 640 divisors, whose sum is σ = 217606245120. Its totient is φ = 11167580160.

The previous prime is 51087334973. The next prime is 51087335051. The reversal of 51087335040 is 4053378015.

51087335040 is a `hidden beast` number, since 510 + 8 + 73 + 35 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 51087334986 and 51087335004.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 8343180 + ... + 8349300.

It is an arithmetic number, because the mean of its divisors is an integer number (340009758).

Almost surely, 2^51087335040 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 51087335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108803122560).

51087335040 is an abundant number, since it is smaller than the sum of its proper divisors (166518910080).

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

51087335040 is a wasteful number, since it uses less digits than its factorization.

51087335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51087335040 in words is "fifty-one billion, eighty-seven million, three hundred thirty-five thousand, forty".