42825113100 has 1080 divisors, whose sum is σ = 186853634352. Its totient is φ = 8360755200.

The previous prime is 42825113059. The next prime is 42825113161. The reversal of 42825113100 is 131152824.

42825113100 is a `hidden beast` number, since 42 + 8 + 2 + 511 + 3 + 100 = 666.

42825113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42825113100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 74220012 + ... + 74220588.

Almost surely, 2^42825113100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42825113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93426817176).

42825113100 is an abundant number, since it is smaller than the sum of its proper divisors (144028521252).

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

42825113100 is a wasteful number, since it uses less digits than its factorization.

42825113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 42825113100 its reverse (131152824), we get a palindrome (42956265924).

The spelling of 42825113100 in words is "forty-two billion, eight hundred twenty-five million, one hundred thirteen thousand, one hundred".