542034828720 has 2160 divisors, whose sum is σ = 2518041326112. Its totient is φ = 103255326720.

The previous prime is 542034828703. The next prime is 542034828733. The reversal of 542034828720 is 27828430245.

542034828720 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 348 + 287 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7425134604 + ... + 7425134676.

Almost surely, 2^542034828720 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 542034828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259020663056).

542034828720 is an abundant number, since it is smaller than the sum of its proper divisors (1976006497392).

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

542034828720 is a wasteful number, since it uses less digits than its factorization.

542034828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 542034828720 in words is "five hundred forty-two billion, thirty-four million, eight hundred twenty-eight thousand, seven hundred twenty".