42535758720 has 768 divisors, whose sum is σ = 171094049280. Its totient is φ = 8798699520.

The previous prime is 42535758619. The next prime is 42535758731. The reversal of 42535758720 is 2785753524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42535758720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138552807 + ... + 138553113.

It is an arithmetic number, because the mean of its divisors is an integer number (222778710).

Almost surely, 2^42535758720 is an apocalyptic number.

42535758720 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 42535758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85547024640).

42535758720 is an abundant number, since it is smaller than the sum of its proper divisors (128558290560).

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

42535758720 is a wasteful number, since it uses less digits than its factorization.

42535758720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 42535758720 in words is "forty-two billion, five hundred thirty-five million, seven hundred fifty-eight thousand, seven hundred twenty".