5442541576920 has 2688 divisors, whose sum is σ = 24114972672000. Its totient is φ = 1096251770880.

The previous prime is 5442541576919. The next prime is 5442541576943. The reversal of 5442541576920 is 296751452445.

5442541576920 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 5 + 41 + 576 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 24406015929 + ... + 24406016151.

It is an arithmetic number, because the mean of its divisors is an integer number (8971344000).

Almost surely, 2^{5442541576920} 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 5442541576920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057486336000).

5442541576920 is an abundant number, since it is smaller than the sum of its proper divisors (18672431095080).

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

5442541576920 is a wasteful number, since it uses less digits than its factorization.

5442541576920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5442541576920 in words is "five trillion, four hundred forty-two billion, five hundred forty-one million, five hundred seventy-six thousand, nine hundred twenty".