42573719556 has 63 divisors (see below), whose sum is σ = 111734155813. Its totient is φ = 14187525840.

The previous prime is 42573719537. The next prime is 42573719557. The reversal of 42573719556 is 65591737524.

It is a happy number.

The square root of 42573719556 is 206334.

It is a perfect power (a square), and thus also a powerful number.

42573719556 is a `hidden beast` number, since 4 + 2 + 5 + 73 + 7 + 19 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38233545156 + 4340174400 = 195534^2 + 65880^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42573719557) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11140126 + ... + 11143946.

Almost surely, 2^42573719556 is an apocalyptic number.

42573719556 is the 206334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42573719556

42573719556 is an abundant number, since it is smaller than the sum of its proper divisors (69160436257).

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

42573719556 is an frugal number, since it uses more digits than its factorization.

42573719556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 3826 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

It can be divided in two parts, 42573 and 719556, that added together give a square (762129 = 873²).

The spelling of 42573719556 in words is "forty-two billion, five hundred seventy-three million, seven hundred nineteen thousand, five hundred fifty-six".