20838825504 has 192 divisors, whose sum is σ = 69778759680. Its totient is φ = 5926867200.

The previous prime is 20838825457. The next prime is 20838825533. The reversal of 20838825504 is 40552883802.

It is a self number, because there is not a number n which added to its sum of digits gives 20838825504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340979 + ... + 1356429.

It is an arithmetic number, because the mean of its divisors is an integer number (363431040).

Almost surely, 2^20838825504 is an apocalyptic number.

20838825504 is a gapful number since it is divisible by the number (24) 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 20838825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34889379840).

20838825504 is an abundant number, since it is smaller than the sum of its proper divisors (48939934176).

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

20838825504 is a wasteful number, since it uses less digits than its factorization.

20838825504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 20838825504 in words is "twenty billion, eight hundred thirty-eight million, eight hundred twenty-five thousand, five hundred four".