42773257560 has 256 divisors, whose sum is σ = 145069056000. Its totient is φ = 9998876160.

The previous prime is 42773257547. The next prime is 42773257561. The reversal of 42773257560 is 6575237724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42773257561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4479271 + ... + 4488809.

It is an arithmetic number, because the mean of its divisors is an integer number (566676000).

Almost surely, 2^42773257560 is an apocalyptic number.

42773257560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42773257560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72534528000).

42773257560 is an abundant number, since it is smaller than the sum of its proper divisors (102295798440).

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

42773257560 is a wasteful number, since it uses less digits than its factorization.

42773257560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 42773257560 in words is "forty-two billion, seven hundred seventy-three million, two hundred fifty-seven thousand, five hundred sixty".