549993792265632 has 288 divisors, whose sum is σ = 1837615762382400. Its totient is φ = 153832988712960.

The previous prime is 549993792265627. The next prime is 549993792265633. The reversal of 549993792265632 is 236562297399945.

549993792265632 is a `hidden beast` number, since 5 + 49 + 9 + 9 + 3 + 7 + 9 + 2 + 2 + 6 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (549993792265633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561631203 + ... + 562609629.

It is an arithmetic number, because the mean of its divisors is an integer number (6380610286050).

Almost surely, 2^{549993792265632} is an apocalyptic number.

549993792265632 is a gapful number since it is divisible by the number (52) 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 549993792265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918807881191200).

549993792265632 is an abundant number, since it is smaller than the sum of its proper divisors (1287621970116768).

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

549993792265632 is a wasteful number, since it uses less digits than its factorization.

549993792265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992116 (or 992105 counting only the distinct ones).

The product of its digits is 11904278400, while the sum is 81.

The spelling of 549993792265632 in words is "five hundred forty-nine trillion, nine hundred ninety-three billion, seven hundred ninety-two million, two hundred sixty-five thousand, six hundred thirty-two".