218877422920 has 96 divisors (see below), whose sum is σ = 533907265320. Its totient is φ = 80719841280.

The previous prime is 218877422879. The next prime is 218877422923. The reversal of 218877422920 is 29224778812.

218877422920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 28172279716 + 190705143204 = 167846^2 + 436698^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (218877422923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5774430 + ... + 5812210.

Almost surely, 2^218877422920 is an apocalyptic number.

218877422920 is a gapful number since it is divisible by the number (20) 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 218877422920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266953632660).

218877422920 is an abundant number, since it is smaller than the sum of its proper divisors (315029842400).

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

218877422920 is a wasteful number, since it uses less digits than its factorization.

218877422920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38675 (or 38658 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 218877422920 in words is "two hundred eighteen billion, eight hundred seventy-seven million, four hundred twenty-two thousand, nine hundred twenty".