542443520160 has 288 divisors, whose sum is σ = 1947494504592. Its totient is φ = 137308815360.

The previous prime is 542443520153. The next prime is 542443520231. The reversal of 542443520160 is 61025344245.

542443520160 is a `hidden beast` number, since 5 + 4 + 2 + 443 + 5 + 201 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 200120233104 + 342323287056 = 447348^2 + 585084^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060322 + ... + 2308638.

Almost surely, 2^542443520160 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 542443520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973747252296).

542443520160 is an abundant number, since it is smaller than the sum of its proper divisors (1405050984432).

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

542443520160 is a wasteful number, since it uses less digits than its factorization.

542443520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248416 (or 248405 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542443520160 in words is "five hundred forty-two billion, four hundred forty-three million, five hundred twenty thousand, one hundred sixty".