542817691729920 has 768 divisors, whose sum is σ = 2014387374504960. Its totient is φ = 140081666457600.

The previous prime is 542817691729913. The next prime is 542817691729949. The reversal of 542817691729920 is 29927196718245.

It is a happy number.

542817691729920 is a `hidden beast` number, since 5 + 4 + 281 + 76 + 9 + 172 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233986815 + ... + 1234426625.

It is an arithmetic number, because the mean of its divisors is an integer number (2622900227220).

Almost surely, 2^{542817691729920} 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 542817691729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007193687252480).

542817691729920 is an abundant number, since it is smaller than the sum of its proper divisors (1471569682775040).

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

542817691729920 is an frugal number, since it uses more digits than its factorization.

542817691729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439892 (or 439852 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 542817691729920 in words is "five hundred forty-two trillion, eight hundred seventeen billion, six hundred ninety-one million, seven hundred twenty-nine thousand, nine hundred twenty".