51540085584 has 120 divisors (see below), whose sum is σ = 155397470592. Its totient is φ = 15852222720.

The previous prime is 51540085567. The next prime is 51540085591. The reversal of 51540085584 is 48558004515.

51540085584 is a `hidden beast` number, since 51 + 5 + 40 + 0 + 8 + 558 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7497669 + ... + 7504539.

Almost surely, 2^51540085584 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 51540085584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77698735296).

51540085584 is an abundant number, since it is smaller than the sum of its proper divisors (103857385008).

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

51540085584 is a wasteful number, since it uses less digits than its factorization.

51540085584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 51540085584 in words is "fifty-one billion, five hundred forty million, eighty-five thousand, five hundred eighty-four".