42725115090 has 128 divisors (see below), whose sum is σ = 130268528640. Its totient is φ = 9761342400.

The previous prime is 42725115053. The next prime is 42725115101. The reversal of 42725115090 is 9051152724.

42725115090 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 511 + 50 + 90 = 666.

42725115090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6178735 + ... + 6185645.

It is an arithmetic number, because the mean of its divisors is an integer number (1017722880).

Almost surely, 2^42725115090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42725115090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65134264320).

42725115090 is an abundant number, since it is smaller than the sum of its proper divisors (87543413550).

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

42725115090 is a wasteful number, since it uses less digits than its factorization.

42725115090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 42725115090 in words is "forty-two billion, seven hundred twenty-five million, one hundred fifteen thousand, ninety".