51549825600 has 2016 divisors, whose sum is σ = 246533554176. Its totient is φ = 10301644800.

The previous prime is 51549825571. The next prime is 51549825601. The reversal of 51549825600 is 652894515.

51549825600 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 9 + 82 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51549825601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1096804777 + ... + 1096804823.

Almost surely, 2^51549825600 is an apocalyptic number.

51549825600 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 51549825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123266777088).

51549825600 is an abundant number, since it is smaller than the sum of its proper divisors (194983728576).

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

51549825600 is a wasteful number, since it uses less digits than its factorization.

51549825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 51549825600 in words is "fifty-one billion, five hundred forty-nine million, eight hundred twenty-five thousand, six hundred".