42777100008 has 96 divisors (see below), whose sum is σ = 118413135360. Its totient is φ = 13944624000.

The previous prime is 42777099979. The next prime is 42777100021. The reversal of 42777100008 is 80000177724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5027758 + ... + 5036258.

It is an arithmetic number, because the mean of its divisors is an integer number (1233470160).

Almost surely, 2^42777100008 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 42777100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59206567680).

42777100008 is an abundant number, since it is smaller than the sum of its proper divisors (75636035352).

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

42777100008 is a wasteful number, since it uses less digits than its factorization.

42777100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 42777100008 in words is "forty-two billion, seven hundred seventy-seven million, one hundred thousand, eight".