542216044160 has 256 divisors, whose sum is σ = 1524849408000. Its totient is φ = 180474200064.

The previous prime is 542216044141. The next prime is 542216044163. The reversal of 542216044160 is 61440612245.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 542216044160.

It is not an unprimeable number, because it can be changed into a prime (542216044163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79395626 + ... + 79402454.

It is an arithmetic number, because the mean of its divisors is an integer number (5956443000).

Almost surely, 2^542216044160 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 542216044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762424704000).

542216044160 is an abundant number, since it is smaller than the sum of its proper divisors (982633363840).

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

542216044160 is a wasteful number, since it uses less digits than its factorization.

542216044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 542216044160 in words is "five hundred forty-two billion, two hundred sixteen million, forty-four thousand, one hundred sixty".