42758850600 has 144 divisors (see below), whose sum is σ = 145742145120. Its totient is φ = 11232144000.

The previous prime is 42758850569. The next prime is 42758850611. The reversal of 42758850600 is 605885724.

42758850600 is a `hidden beast` number, since 4 + 2 + 7 + 588 + 5 + 0 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56676 + ... + 297875.

It is an arithmetic number, because the mean of its divisors is an integer number (1012098230).

Almost surely, 2^42758850600 is an apocalyptic number.

42758850600 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 42758850600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72871072560).

42758850600 is an abundant number, since it is smaller than the sum of its proper divisors (102983294520).

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

42758850600 is a wasteful number, since it uses less digits than its factorization.

42758850600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354640 (or 354628 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42758850600 in words is "forty-two billion, seven hundred fifty-eight million, eight hundred fifty thousand, six hundred".