5538352849920 has 2112 divisors, whose sum is σ = 23589693504000. Its totient is φ = 1185121566720.

The previous prime is 5538352849919. The next prime is 5538352849961. The reversal of 5538352849920 is 299482538355.

5538352849920 is a `hidden beast` number, since 5 + 5 + 3 + 83 + 528 + 4 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 9245997781 + ... + 9245998379.

Almost surely, 2^{5538352849920} 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 5538352849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794846752000).

5538352849920 is an abundant number, since it is smaller than the sum of its proper divisors (18051340654080).

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

5538352849920 is a wasteful number, since it uses less digits than its factorization.

5538352849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 5538352849920 in words is "five trillion, five hundred thirty-eight billion, three hundred fifty-two million, eight hundred forty-nine thousand, nine hundred twenty".