42855579900 has 288 divisors, whose sum is σ = 157849896960. Its totient is φ = 9770976000.

The previous prime is 42855579887. The next prime is 42855579917. The reversal of 42855579900 is 997555824.

42855579900 is a `hidden beast` number, since 4 + 2 + 85 + 557 + 9 + 9 + 0 + 0 = 666.

42855579900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8143270 + ... + 8148530.

It is an arithmetic number, because the mean of its divisors is an integer number (548089920).

Almost surely, 2^42855579900 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 42855579900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78924948480).

42855579900 is an abundant number, since it is smaller than the sum of its proper divisors (114994317060).

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

42855579900 is a wasteful number, since it uses less digits than its factorization.

42855579900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 42855579900 in words is "forty-two billion, eight hundred fifty-five million, five hundred seventy-nine thousand, nine hundred".