20407673088 has 288 divisors, whose sum is σ = 66343334400. Its totient is φ = 6136473600.

The previous prime is 20407673087. The next prime is 20407673089. The reversal of 20407673088 is 88037670402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20407673087) and next prime (20407673089).

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

It is not an unprimeable number, because it can be changed into a prime (20407673081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10567483 + ... + 10569413.

It is an arithmetic number, because the mean of its divisors is an integer number (230358800).

Almost surely, 2^20407673088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20407673088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33171667200).

20407673088 is an abundant number, since it is smaller than the sum of its proper divisors (45935661312).

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

20407673088 is a wasteful number, since it uses less digits than its factorization.

20407673088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20407673088 in words is "twenty billion, four hundred seven million, six hundred seventy-three thousand, eighty-eight".