42525827800 has 96 divisors (see below), whose sum is σ = 100163812320. Its totient is φ = 16789248000.

The previous prime is 42525827741. The next prime is 42525827867. The reversal of 42525827800 is 872852524.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6804277 + ... + 6810523.

It is an arithmetic number, because the mean of its divisors is an integer number (1043373045).

Almost surely, 2^42525827800 is an apocalyptic number.

42525827800 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 42525827800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50081906160).

42525827800 is an abundant number, since it is smaller than the sum of its proper divisors (57637984520).

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

42525827800 is a wasteful number, since it uses less digits than its factorization.

42525827800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 42525827800 in words is "forty-two billion, five hundred twenty-five million, eight hundred twenty-seven thousand, eight hundred".