42531513200 has 120 divisors (see below), whose sum is σ = 111794667600. Its totient is φ = 15421132800.

The previous prime is 42531513197. The next prime is 42531513251. The reversal of 42531513200 is 231513524.

It is a happy number.

42531513200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42531513200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521752 + ... + 1549448.

It is an arithmetic number, because the mean of its divisors is an integer number (931622230).

Almost surely, 2^42531513200 is an apocalyptic number.

42531513200 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 42531513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55897333800).

42531513200 is an abundant number, since it is smaller than the sum of its proper divisors (69263154400).

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

42531513200 is a wasteful number, since it uses less digits than its factorization.

42531513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28075 (or 28064 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 42531513200 in words is "forty-two billion, five hundred thirty-one million, five hundred thirteen thousand, two hundred".