42688097088 has 224 divisors, whose sum is σ = 146327408640. Its totient is φ = 10665768960.

The previous prime is 42688097087. The next prime is 42688097093. The reversal of 42688097088 is 88079088624.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×42688097088³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688097087) 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, 267673 + ... + 396263.

It is an arithmetic number, because the mean of its divisors is an integer number (653247360).

Almost surely, 2^42688097088 is an apocalyptic number.

42688097088 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 42688097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73163704320).

42688097088 is an abundant number, since it is smaller than the sum of its proper divisors (103639311552).

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

42688097088 is a wasteful number, since it uses less digits than its factorization.

42688097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128645 (or 128635 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 42688097088 in words is "forty-two billion, six hundred eighty-eight million, ninety-seven thousand, eighty-eight".