42538169088 has 288 divisors, whose sum is σ = 128212761600. Its totient is φ = 13909708800.

The previous prime is 42538169087. The next prime is 42538169101. The reversal of 42538169088 is 88096183524.

42538169088 is a `hidden beast` number, since 4 + 2 + 538 + 16 + 90 + 8 + 8 = 666.

42538169088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (42538169083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98696233 + ... + 98696663.

It is an arithmetic number, because the mean of its divisors is an integer number (445183200).

Almost surely, 2^42538169088 is an apocalyptic number.

42538169088 is a gapful number since it is divisible by the number (48) 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 42538169088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64106380800).

42538169088 is an abundant number, since it is smaller than the sum of its proper divisors (85674592512).

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

42538169088 is a wasteful number, since it uses less digits than its factorization.

42538169088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 42538169088 in words is "forty-two billion, five hundred thirty-eight million, one hundred sixty-nine thousand, eighty-eight".