542165680 has 80 divisors (see below), whose sum is σ = 1471334400. Its totient is φ = 181921536.

The previous prime is 542165653. The next prime is 542165693. The reversal of 542165680 is 86561245.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16021 + ... + 36619.

It is an arithmetic number, because the mean of its divisors is an integer number (18391680).

Almost surely, 2^542165680 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 542165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735667200).

542165680 is an abundant number, since it is smaller than the sum of its proper divisors (929168720).

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

542165680 is a wasteful number, since it uses less digits than its factorization.

542165680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20660 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 542165680 is about 23284.4514644430. The cubic root of 542165680 is about 815.4124551110.

The spelling of 542165680 in words is "five hundred forty-two million, one hundred sixty-five thousand, six hundred eighty".