20525944320 has 800 divisors, whose sum is σ = 85558809600. Its totient is φ = 4606377984.

The previous prime is 20525944319. The next prime is 20525944333. The reversal of 20525944320 is 2344952502.

20525944320 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 594 + 43 + 20 = 666.

It is a super-3 number, since 3×20525944320³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 114669991 + ... + 114670169.

It is an arithmetic number, because the mean of its divisors is an integer number (106948512).

Almost surely, 2^20525944320 is an apocalyptic number.

20525944320 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 20525944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42779404800).

20525944320 is an abundant number, since it is smaller than the sum of its proper divisors (65032865280).

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

20525944320 is an equidigital number, since it uses as much as digits as its factorization.

20525944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 20525944320 in words is "twenty billion, five hundred twenty-five million, nine hundred forty-four thousand, three hundred twenty".