542581355520 has 1056 divisors, whose sum is σ = 2057103336960. Its totient is φ = 135523860480.

The previous prime is 542581355489. The next prime is 542581355521. The reversal of 542581355520 is 25553185245.

542581355520 is a `hidden beast` number, since 5 + 42 + 5 + 81 + 3 + 5 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542581355521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8894776290 + ... + 8894776350.

Almost surely, 2^542581355520 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 542581355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028551668480).

542581355520 is an abundant number, since it is smaller than the sum of its proper divisors (1514521981440).

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

542581355520 is a wasteful number, since it uses less digits than its factorization.

542581355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 542581355520 in words is "five hundred forty-two billion, five hundred eighty-one million, three hundred fifty-five thousand, five hundred twenty".