20267661120 has 896 divisors, whose sum is σ = 82585681920. Its totient is φ = 4105175040.

The previous prime is 20267661107. The next prime is 20267661121. The reversal of 20267661120 is 2116676202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20267661121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208944912 + ... + 208945008.

It is an arithmetic number, because the mean of its divisors is an integer number (92171520).

Almost surely, 2^20267661120 is an apocalyptic number.

20267661120 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 20267661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292840960).

20267661120 is an abundant number, since it is smaller than the sum of its proper divisors (62318020800).

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

20267661120 is a wasteful number, since it uses less digits than its factorization.

20267661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 20267661120 in words is "twenty billion, two hundred sixty-seven million, six hundred sixty-one thousand, one hundred twenty".