542326777920 has 392 divisors, whose sum is σ = 1954423344384. Its totient is φ = 143262286848.

The previous prime is 542326777903. The next prime is 542326777931. The reversal of 542326777920 is 29777623245.

It is a happy number.

542326777920 is a `hidden beast` number, since 5 + 423 + 2 + 67 + 77 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24950097 + ... + 24971823.

Almost surely, 2^542326777920 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 542326777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977211672192).

542326777920 is an abundant number, since it is smaller than the sum of its proper divisors (1412096566464).

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

542326777920 is a wasteful number, since it uses less digits than its factorization.

542326777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21869 (or 21844 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 542326777920 in words is "five hundred forty-two billion, three hundred twenty-six million, seven hundred seventy-seven thousand, nine hundred twenty".