51553666000 has 80 divisors (see below), whose sum is σ = 124716281040. Its totient is φ = 20611622400.

The previous prime is 51553665959. The next prime is 51553666001. The reversal of 51553666000 is 66635515.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15868944784 + 35684721216 = 125972^2 + 188904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51553666001) 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 15 ways as a sum of consecutive naturals, for example, 5349186 + ... + 5358814.

It is an arithmetic number, because the mean of its divisors is an integer number (1558953513).

Almost surely, 2^51553666000 is an apocalyptic number.

51553666000 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 51553666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62358140520).

51553666000 is an abundant number, since it is smaller than the sum of its proper divisors (73162615040).

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

51553666000 is a wasteful number, since it uses less digits than its factorization.

51553666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 51553666000 in words is "fifty-one billion, five hundred fifty-three million, six hundred sixty-six thousand".