51424842585600 has 1440 divisors, whose sum is σ = 212414181408000. Its totient is φ = 11750046105600.

The previous prime is 51424842585547. The next prime is 51424842585601. The reversal of 51424842585600 is 658524842415.

51424842585600 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 4 + 8 + 4 + 25 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51424842585601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4791277834 + ... + 4791288566.

It is an arithmetic number, because the mean of its divisors is an integer number (147509848200).

Almost surely, 2^{51424842585600} is an apocalyptic number.

51424842585600 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 51424842585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106207090704000).

51424842585600 is an abundant number, since it is smaller than the sum of its proper divisors (160989338822400).

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

51424842585600 is a wasteful number, since it uses less digits than its factorization.

51424842585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 51424842585600 in words is "fifty-one trillion, four hundred twenty-four billion, eight hundred forty-two million, five hundred eighty-five thousand, six hundred".