42735260135000 has 80 divisors (see below), whose sum is σ = 101770169558640. Its totient is φ = 16813872720000.

The previous prime is 42735260134997. The next prime is 42735260135011. The reversal of 42735260135000 is 53106253724.

It is a super-2 number, since 2×42735260135000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69752804 + ... + 70362803.

It is an arithmetic number, because the mean of its divisors is an integer number (1272127119483).

Almost surely, 2^{42735260135000} is an apocalyptic number.

42735260135000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42735260135000 is an abundant number, since it is smaller than the sum of its proper divisors (59034909423640).

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

42735260135000 is a wasteful number, since it uses less digits than its factorization.

42735260135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140115694 (or 140115675 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

Adding to 42735260135000 its reverse (53106253724), we get a palindrome (42788366388724).

The spelling of 42735260135000 in words is "forty-two trillion, seven hundred thirty-five billion, two hundred sixty million, one hundred thirty-five thousand".