20283770880 has 288 divisors, whose sum is σ = 71055948600. Its totient is φ = 5350883328.

The previous prime is 20283770839. The next prime is 20283770911. The reversal of 20283770880 is 8807738202.

It can be written as a sum of positive squares in 4 ways, for example, as 10296566784 + 9987204096 = 101472^2 + 99936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20283770880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8938386 + ... + 8940654.

Almost surely, 2^20283770880 is an apocalyptic number.

20283770880 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 20283770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35527974300).

20283770880 is an abundant number, since it is smaller than the sum of its proper divisors (50772177720).

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

20283770880 is a wasteful number, since it uses less digits than its factorization.

20283770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20283770880 in words is "twenty billion, two hundred eighty-three million, seven hundred seventy thousand, eight hundred eighty".