542825982720 has 864 divisors, whose sum is σ = 2319352963200. Its totient is φ = 116761559040.

The previous prime is 542825982719. The next prime is 542825982731. The reversal of 542825982720 is 27289528245.

542825982720 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 2 + 598 + 27 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67169080 + ... + 67177160.

It is an arithmetic number, because the mean of its divisors is an integer number (2684436300).

Almost surely, 2^542825982720 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 542825982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159676481600).

542825982720 is an abundant number, since it is smaller than the sum of its proper divisors (1776526980480).

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

542825982720 is a wasteful number, since it uses less digits than its factorization.

542825982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 542825982720 in words is "five hundred forty-two billion, eight hundred twenty-five million, nine hundred eighty-two thousand, seven hundred twenty".