20784261120 has 384 divisors, whose sum is σ = 80007782400. Its totient is φ = 4499767296.

The previous prime is 20784261107. The next prime is 20784261131. The reversal of 20784261120 is 2116248702.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4083217 + ... + 4088303.

It is an arithmetic number, because the mean of its divisors is an integer number (208353600).

Almost surely, 2^20784261120 is an apocalyptic number.

20784261120 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 20784261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40003891200).

20784261120 is an abundant number, since it is smaller than the sum of its proper divisors (59223521280).

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

20784261120 is a wasteful number, since it uses less digits than its factorization.

20784261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 20784261120 in words is "twenty billion, seven hundred eighty-four million, two hundred sixty-one thousand, one hundred twenty".