218350557020 has 96 divisors (see below), whose sum is σ = 488376000000. Its totient is φ = 81770819328.

The previous prime is 218350556989. The next prime is 218350557083. The reversal of 218350557020 is 20755053812.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11257691 + ... + 11277069.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250000).

Almost surely, 2^218350557020 is an apocalyptic number.

218350557020 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 218350557020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000000).

218350557020 is an abundant number, since it is smaller than the sum of its proper divisors (270025442980).

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

218350557020 is a wasteful number, since it uses less digits than its factorization.

218350557020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755 (or 19753 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 218350557020 in words is "two hundred eighteen billion, three hundred fifty million, five hundred fifty-seven thousand, twenty".