51585735801600 has 7776 divisors, whose sum is σ = 274836534336000. Its totient is φ = 9071419392000.

The previous prime is 51585735801571. The next prime is 51585735801617. The reversal of 51585735801600 is 610853758515.

51585735801600 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 57 + 3 + 580 + 1 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×51585735801600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1664055993585 + ... + 1664055993615.

Almost surely, 2^{51585735801600} is an apocalyptic number.

51585735801600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51585735801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137418267168000).

51585735801600 is an abundant number, since it is smaller than the sum of its proper divisors (223250798534400).

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

51585735801600 is a wasteful number, since it uses less digits than its factorization.

51585735801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 51585735801600 in words is "fifty-one trillion, five hundred eighty-five billion, seven hundred thirty-five million, eight hundred one thousand, six hundred".