42688235520 has 1152 divisors, whose sum is σ = 185536915200. Its totient is φ = 9264955392.

The previous prime is 42688235519. The next prime is 42688235521. The reversal of 42688235520 is 2553288624.

42688235520 is a `hidden beast` number, since 4 + 26 + 88 + 23 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (42688235519) and next prime (42688235521).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×42688235520³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42688235521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311592892 + ... + 311593028.

It is an arithmetic number, because the mean of its divisors is an integer number (161056350).

Almost surely, 2^42688235520 is an apocalyptic number.

42688235520 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 42688235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92768457600).

42688235520 is an abundant number, since it is smaller than the sum of its proper divisors (142848679680).

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

42688235520 is a wasteful number, since it uses less digits than its factorization.

42688235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42688235520 in words is "forty-two billion, six hundred eighty-eight million, two hundred thirty-five thousand, five hundred twenty".