542504431656 has 160 divisors (see below), whose sum is σ = 1744897730400. Its totient is φ = 155742860160.

The previous prime is 542504431583. The next prime is 542504431723. The reversal of 542504431656 is 656134405245.

542504431656 is a `hidden beast` number, since 5 + 42 + 5 + 0 + 443 + 165 + 6 = 666.

It is a super-2 number, since 2×542504431656² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1867435 + ... + 2138298.

It is an arithmetic number, because the mean of its divisors is an integer number (10905610815).

Almost surely, 2^542504431656 is an apocalyptic number.

It is an amenable number.

542504431656 is an abundant number, since it is smaller than the sum of its proper divisors (1202393298744).

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

542504431656 is a wasteful number, since it uses less digits than its factorization.

542504431656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005781 (or 4005768 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 542504431656 in words is "five hundred forty-two billion, five hundred four million, four hundred thirty-one thousand, six hundred fifty-six".