20825842752 has 336 divisors, whose sum is σ = 73185211008. Its totient is φ = 5571624960.

The previous prime is 20825842717. The next prime is 20825842757. The reversal of 20825842752 is 25724852802.

It is a junction number, because it is equal to n+sod(n) for n = 20825842698 and 20825842707.

It is not an unprimeable number, because it can be changed into a prime (20825842757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1888968 + ... + 1899960.

It is an arithmetic number, because the mean of its divisors is an integer number (217813128).

Almost surely, 2^20825842752 is an apocalyptic number.

20825842752 is a gapful number since it is divisible by the number (22) 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 20825842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36592605504).

20825842752 is an abundant number, since it is smaller than the sum of its proper divisors (52359368256).

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

20825842752 is a wasteful number, since it uses less digits than its factorization.

20825842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11045 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20825842752 in words is "twenty billion, eight hundred twenty-five million, eight hundred forty-two thousand, seven hundred fifty-two".