218822872400 has 60 divisors (see below), whose sum is σ = 573514867104. Its totient is φ = 79571952000.

The previous prime is 218822872369. The next prime is 218822872403. The reversal of 218822872400 is 4278228812.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218822872403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24861836 + ... + 24870635.

Almost surely, 2^218822872400 is an apocalyptic number.

218822872400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218822872400 is an abundant number, since it is smaller than the sum of its proper divisors (354691994704).

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

218822872400 is a wasteful number, since it uses less digits than its factorization.

218822872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49732500 (or 49732489 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 44.

The spelling of 218822872400 in words is "two hundred eighteen billion, eight hundred twenty-two million, eight hundred seventy-two thousand, four hundred".