20405272320 has 432 divisors, whose sum is σ = 73868034240. Its totient is φ = 5193990144.

The previous prime is 20405272313. The next prime is 20405272337. The reversal of 20405272320 is 2327250402.

20405272320 is a `hidden beast` number, since 2 + 0 + 405 + 27 + 232 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34409944 + ... + 34410536.

It is an arithmetic number, because the mean of its divisors is an integer number (170990820).

Almost surely, 2^20405272320 is an apocalyptic number.

20405272320 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 20405272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36934017120).

20405272320 is an abundant number, since it is smaller than the sum of its proper divisors (53462761920).

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

20405272320 is a wasteful number, since it uses less digits than its factorization.

20405272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20405272320 in words is "twenty billion, four hundred five million, two hundred seventy-two thousand, three hundred twenty".