20825953344 has 189 divisors, whose sum is σ = 69520699287. Its totient is φ = 5943345408.

The previous prime is 20825953339. The next prime is 20825953363. The reversal of 20825953344 is 44335952802.

The square root of 20825953344 is 144312.

It is a perfect power (a square), and thus also a powerful number.

20825953344 is a `hidden beast` number, since 2 + 0 + 8 + 259 + 53 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20825953344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24243987 + ... + 24244845.

Almost surely, 2^20825953344 is an apocalyptic number.

20825953344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20825953344 is the 144312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20825953344

20825953344 is an abundant number, since it is smaller than the sum of its proper divisors (48694745943).

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

20825953344 is an frugal number, since it uses more digits than its factorization.

20825953344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 20825 and 953344, that added together give a square (974169 = 987²).

The spelling of 20825953344 in words is "twenty billion, eight hundred twenty-five million, nine hundred fifty-three thousand, three hundred forty-four".