551630783608320 has 1280 divisors, whose sum is σ = 2075984248504320. Its totient is φ = 123742096588800.

The previous prime is 551630783608309. The next prime is 551630783608363. The reversal of 551630783608320 is 23806387036155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9820533835 + ... + 9820590005.

It is an arithmetic number, because the mean of its divisors is an integer number (1621862694144).

Almost surely, 2^{551630783608320} 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 551630783608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037992124252160).

551630783608320 is an abundant number, since it is smaller than the sum of its proper divisors (1524353464896000).

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

551630783608320 is a wasteful number, since it uses less digits than its factorization.

551630783608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56427 (or 56411 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 551630783608320 in words is "five hundred fifty-one trillion, six hundred thirty billion, seven hundred eighty-three million, six hundred eight thousand, three hundred twenty".