20267089920 has 1440 divisors, whose sum is σ = 96822552960. Its totient is φ = 3963617280.

The previous prime is 20267089907. The next prime is 20267089933. The reversal of 20267089920 is 2998076202.

It is an interprime number because it is at equal distance from previous prime (20267089907) and next prime (20267089933).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1192181752 + ... + 1192181768.

It is an arithmetic number, because the mean of its divisors is an integer number (67237884).

Almost surely, 2^20267089920 is an apocalyptic number.

20267089920 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 20267089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48411276480).

20267089920 is an abundant number, since it is smaller than the sum of its proper divisors (76555463040).

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

20267089920 is a wasteful number, since it uses less digits than its factorization.

20267089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20267089920 in words is "twenty billion, two hundred sixty-seven million, eighty-nine thousand, nine hundred twenty".