42253589664 has 288 divisors, whose sum is σ = 143281704384. Its totient is φ = 11642019840.

The previous prime is 42253589621. The next prime is 42253589723. The reversal of 42253589664 is 46698535224.

42253589664 is a `hidden beast` number, since 4 + 2 + 2 + 53 + 589 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42253589664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2751672 + ... + 2766984.

It is an arithmetic number, because the mean of its divisors is an integer number (497505918).

Almost surely, 2^42253589664 is an apocalyptic number.

42253589664 is a gapful number since it is divisible by the number (44) 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 42253589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71640852192).

42253589664 is an abundant number, since it is smaller than the sum of its proper divisors (101028114720).

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

42253589664 is a wasteful number, since it uses less digits than its factorization.

42253589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15420 (or 15409 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 42253589664 in words is "forty-two billion, two hundred fifty-three million, five hundred eighty-nine thousand, six hundred sixty-four".