20691727360 has 352 divisors, whose sum is σ = 54968336640. Its totient is φ = 7448297472.

The previous prime is 20691727351. The next prime is 20691727379. The reversal of 20691727360 is 6372719602.

It is a super-3 number, since 3×20691727360³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249297879 + ... + 249297961.

Almost surely, 2^20691727360 is an apocalyptic number.

20691727360 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 20691727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484168320).

20691727360 is an abundant number, since it is smaller than the sum of its proper divisors (34276609280).

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

20691727360 is a wasteful number, since it uses less digits than its factorization.

20691727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 20691727360 in words is "twenty billion, six hundred ninety-one million, seven hundred twenty-seven thousand, three hundred sixty".