20010828416 has 64 divisors (see below), whose sum is σ = 40405145760. Its totient is φ = 9870720000.

The previous prime is 20010828413. The next prime is 20010828421. The reversal of 20010828416 is 61482801002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20010828413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3434786 + ... + 3440606.

Almost surely, 2^20010828416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202572880).

20010828416 is an abundant number, since it is smaller than the sum of its proper divisors (20394317344).

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

20010828416 is a wasteful number, since it uses less digits than its factorization.

20010828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 20010828416 in words is "twenty billion, ten million, eight hundred twenty-eight thousand, four hundred sixteen".