20427721400 has 192 divisors, whose sum is σ = 50739609600. Its totient is φ = 7632092160.

The previous prime is 20427721399. The next prime is 20427721421. The reversal of 20427721400 is 412772402.

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, 42646361 + ... + 42646839.

It is an arithmetic number, because the mean of its divisors is an integer number (264268800).

Almost surely, 2^20427721400 is an apocalyptic number.

20427721400 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 20427721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25369804800).

20427721400 is an abundant number, since it is smaller than the sum of its proper divisors (30311888200).

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

20427721400 is a wasteful number, since it uses less digits than its factorization.

20427721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The spelling of 20427721400 in words is "twenty billion, four hundred twenty-seven million, seven hundred twenty-one thousand, four hundred".