542571120 has 480 divisors, whose sum is σ = 2301936000. Its totient is φ = 114476544.

The previous prime is 542571109. The next prime is 542571187. The reversal of 542571120 is 21175245.

542571120 is a `hidden beast` number, since 542 + 5 + 7 + 112 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41736234 + ... + 41736246.

It is an arithmetic number, because the mean of its divisors is an integer number (4795700).

Almost surely, 2^542571120 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 542571120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150968000).

542571120 is an abundant number, since it is smaller than the sum of its proper divisors (1759364880).

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

542571120 is a wasteful number, since it uses less digits than its factorization.

542571120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 542571120 is about 23293.1560764101. The cubic root of 542571120 is about 815.6156638734.

The spelling of 542571120 in words is "five hundred forty-two million, five hundred seventy-one thousand, one hundred twenty".