51822005760 has 960 divisors, whose sum is σ = 222958479744. Its totient is φ = 10852761600.

The previous prime is 51822005759. The next prime is 51822005813. The reversal of 51822005760 is 6750022815.

It is a happy number.

51822005760 is a `hidden beast` number, since 5 + 1 + 82 + 2 + 0 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112411930 + ... + 112412390.

Almost surely, 2^51822005760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51822005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479239872).

51822005760 is an abundant number, since it is smaller than the sum of its proper divisors (171136473984).

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

51822005760 is a wasteful number, since it uses less digits than its factorization.

51822005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 51822005760 in words is "fifty-one billion, eight hundred twenty-two million, five thousand, seven hundred sixty".