20281661120 has 168 divisors, whose sum is σ = 56058974496. Its totient is φ = 6846529536.

The previous prime is 20281661117. The next prime is 20281661143. The reversal of 20281661120 is 2116618202.

It is a super-2 number, since 2×20281661120² (a number of 21 digits) contains 22 as substring.

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, 10054352 + ... + 10056368.

It is an arithmetic number, because the mean of its divisors is an integer number (333684372).

Almost surely, 2^20281661120 is an apocalyptic number.

20281661120 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 20281661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029487248).

20281661120 is an abundant number, since it is smaller than the sum of its proper divisors (35777313376).

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

20281661120 is an equidigital number, since it uses as much as digits as its factorization.

20281661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 20281661120 in words is "twenty billion, two hundred eighty-one million, six hundred sixty-one thousand, one hundred twenty".