42557088672 has 288 divisors, whose sum is σ = 143120839680. Its totient is φ = 11738234880.

The previous prime is 42557088671. The next prime is 42557088677. The reversal of 42557088672 is 27688075524.

42557088672 is a `hidden beast` number, since 4 + 2 + 5 + 570 + 8 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42557088672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42557088671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45809104 + ... + 45810032.

It is an arithmetic number, because the mean of its divisors is an integer number (496947360).

Almost surely, 2^42557088672 is an apocalyptic number.

42557088672 is a gapful number since it is divisible by the number (42) 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 42557088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560419840).

42557088672 is an abundant number, since it is smaller than the sum of its proper divisors (100563751008).

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

42557088672 is a wasteful number, since it uses less digits than its factorization.

42557088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 42557088672 in words is "forty-two billion, five hundred fifty-seven million, eighty-eight thousand, six hundred seventy-two".