20280800000 has 216 divisors, whose sum is σ = 51304310064. Its totient is φ = 8000000000.

The previous prime is 20280799951. The next prime is 20280800011. The reversal of 20280800000 is 808202.

It is a super-2 number, since 2×20280800000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 80799875 + ... + 80800125.

It is an arithmetic number, because the mean of its divisors is an integer number (237519954).

Almost surely, 2^20280800000 is an apocalyptic number.

20280800000 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 20280800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652155032).

20280800000 is an abundant number, since it is smaller than the sum of its proper divisors (31023510064).

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

20280800000 is an frugal number, since it uses more digits than its factorization.

20280800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 20280800000 in words is "twenty billion, two hundred eighty million, eight hundred thousand".