20784314880 has 1120 divisors, whose sum is σ = 89737363584. Its totient is φ = 4514807808.

The previous prime is 20784314827. The next prime is 20784314891. The reversal of 20784314880 is 8841348702.

20784314880 is a `hidden beast` number, since 207 + 8 + 431 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 483356139 + ... + 483356181.

Almost surely, 2^20784314880 is an apocalyptic number.

20784314880 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 20784314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44868681792).

20784314880 is an abundant number, since it is smaller than the sum of its proper divisors (68953048704).

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

20784314880 is an frugal number, since it uses more digits than its factorization.

20784314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20784314880 in words is "twenty billion, seven hundred eighty-four million, three hundred fourteen thousand, eight hundred eighty".