51553000800 has 720 divisors, whose sum is σ = 217445770080. Its totient is φ = 11642019840.

The previous prime is 51553000799. The next prime is 51553000817. The reversal of 51553000800 is 800035515.

51553000800 is a `hidden beast` number, since 51 + 5 + 530 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 40369762 + ... + 40371038.

It is an arithmetic number, because the mean of its divisors is an integer number (302008014).

Almost surely, 2^51553000800 is an apocalyptic number.

51553000800 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 51553000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108722885040).

51553000800 is an abundant number, since it is smaller than the sum of its proper divisors (165892769280).

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

51553000800 is a wasteful number, since it uses less digits than its factorization.

51553000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 51553000800 in words is "fifty-one billion, five hundred fifty-three million, eight hundred", and thus it is an aban number.