42658788600 has 288 divisors, whose sum is σ = 154016928000. Its totient is φ = 10547262720.

The previous prime is 42658788577. The next prime is 42658788629. The reversal of 42658788600 is 688785624.

42658788600 is a `hidden beast` number, since 4 + 26 + 5 + 8 + 7 + 8 + 8 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1594131 + ... + 1620669.

It is an arithmetic number, because the mean of its divisors is an integer number (534781000).

Almost surely, 2^42658788600 is an apocalyptic number.

42658788600 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 42658788600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77008464000).

42658788600 is an abundant number, since it is smaller than the sum of its proper divisors (111358139400).

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

42658788600 is a wasteful number, since it uses less digits than its factorization.

42658788600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627 (or 26615 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 42658788600 in words is "forty-two billion, six hundred fifty-eight million, seven hundred eighty-eight thousand, six hundred".