542288597760 has 3456 divisors, whose sum is σ = 2699885260800. Its totient is φ = 103004504064.

The previous prime is 542288597759. The next prime is 542288597779. The reversal of 542288597760 is 67795882245.

542288597760 is a `hidden beast` number, since 5 + 422 + 8 + 85 + 9 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23577765109 + ... + 23577765131.

It is an arithmetic number, because the mean of its divisors is an integer number (781216800).

Almost surely, 2^542288597760 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 542288597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349942630400).

542288597760 is an abundant number, since it is smaller than the sum of its proper divisors (2157596663040).

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

542288597760 is a wasteful number, since it uses less digits than its factorization.

542288597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 542288597760 in words is "five hundred forty-two billion, two hundred eighty-eight million, five hundred ninety-seven thousand, seven hundred sixty".