20251984896 has 528 divisors, whose sum is σ = 69813639168. Its totient is φ = 5620285440.

The previous prime is 20251984871. The next prime is 20251984897. The reversal of 20251984896 is 69848915202.

It is a happy number.

20251984896 is a `hidden beast` number, since 20 + 2 + 51 + 98 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20251984897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159464385 + ... + 159464511.

Almost surely, 2^20251984896 is an apocalyptic number.

20251984896 is a gapful number since it is divisible by the number (26) 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 20251984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34906819584).

20251984896 is an abundant number, since it is smaller than the sum of its proper divisors (49561654272).

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

20251984896 is a wasteful number, since it uses less digits than its factorization.

20251984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 20251984896 in words is "twenty billion, two hundred fifty-one million, nine hundred eighty-four thousand, eight hundred ninety-six".