42652889664000 has 2560 divisors, whose sum is σ = 182570714726400. Its totient is φ = 8757116928000.

The previous prime is 42652889663983. The next prime is 42652889664043. The reversal of 42652889664000 is 46698825624.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70268351697 + ... + 70268352303.

It is an arithmetic number, because the mean of its divisors is an integer number (71316685440).

Almost surely, 2^{42652889664000} is an apocalyptic number.

42652889664000 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 42652889664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91285357363200).

42652889664000 is an abundant number, since it is smaller than the sum of its proper divisors (139917825062400).

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

42652889664000 is an equidigital number, since it uses as much as digits as its factorization.

42652889664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 42652889664000 in words is "forty-two trillion, six hundred fifty-two billion, eight hundred eighty-nine million, six hundred sixty-four thousand".