42225569568000 has 2016 divisors, whose sum is σ = 194116357623552. Its totient is φ = 8908683264000.

The previous prime is 42225569567959. The next prime is 42225569568029. The reversal of 42225569568000 is 86596552224.

It is a happy number.

42225569568000 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 556 + 9 + 5 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2122838055 + ... + 2122857945.

Almost surely, 2^{42225569568000} is an apocalyptic number.

42225569568000 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 42225569568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97058178811776).

42225569568000 is an abundant number, since it is smaller than the sum of its proper divisors (151890788055552).

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

42225569568000 is an equidigital number, since it uses as much as digits as its factorization.

42225569568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19960 (or 19921 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 42225569568000 in words is "forty-two trillion, two hundred twenty-five billion, five hundred sixty-nine million, five hundred sixty-eight thousand".