20009201256 has 448 divisors, whose sum is σ = 65273610240. Its totient is φ = 5688144000.

The previous prime is 20009201249. The next prime is 20009201257. The reversal of 20009201256 is 65210290002.

20009201256 is a `hidden beast` number, since 200 + 0 + 9 + 201 + 256 = 666.

It is a super-2 number, since 2×20009201256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20009201257) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 104760121 + ... + 104760311.

Almost surely, 2^20009201256 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 20009201256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32636805120).

20009201256 is an abundant number, since it is smaller than the sum of its proper divisors (45264408984).

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

20009201256 is a wasteful number, since it uses less digits than its factorization.

20009201256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 20009201256 its reverse (65210290002), we get a palindrome (85219491258).

The spelling of 20009201256 in words is "twenty billion, nine million, two hundred one thousand, two hundred fifty-six".