51998224320 has 448 divisors, whose sum is σ = 210151065600. Its totient is φ = 11856568320.

The previous prime is 51998224283. The next prime is 51998224321. The reversal of 51998224320 is 2342289915.

51998224320 is a `hidden beast` number, since 5 + 19 + 98 + 224 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51998224321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34412365 + ... + 34413875.

It is an arithmetic number, because the mean of its divisors is an integer number (469087200).

Almost surely, 2^51998224320 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 51998224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105075532800).

51998224320 is an abundant number, since it is smaller than the sum of its proper divisors (158152841280).

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

51998224320 is a wasteful number, since it uses less digits than its factorization.

51998224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 51998224320 in words is "fifty-one billion, nine hundred ninety-eight million, two hundred twenty-four thousand, three hundred twenty".