20918211120 has 800 divisors, whose sum is σ = 81669772800. Its totient is φ = 4937822208.

The previous prime is 20918211107. The next prime is 20918211151. The reversal of 20918211120 is 2111281902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235036036 + ... + 235036124.

It is an arithmetic number, because the mean of its divisors is an integer number (102087216).

Almost surely, 2^20918211120 is an apocalyptic number.

20918211120 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 20918211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40834886400).

20918211120 is an abundant number, since it is smaller than the sum of its proper divisors (60751561680).

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

20918211120 is a wasteful number, since it uses less digits than its factorization.

20918211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 20918211120 in words is "twenty billion, nine hundred eighteen million, two hundred eleven thousand, one hundred twenty".