20011342416 has 160 divisors (see below), whose sum is σ = 56620126080. Its totient is φ = 6053363712.

The previous prime is 20011342391. The next prime is 20011342489. The reversal of 20011342416 is 61424311002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10717515 + ... + 10719381.

It is an arithmetic number, because the mean of its divisors is an integer number (353875788).

Almost surely, 2^20011342416 is an apocalyptic number.

20011342416 is a gapful number since it is divisible by the number (26) 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 20011342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28310063040).

20011342416 is an abundant number, since it is smaller than the sum of its proper divisors (36608783664).

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

20011342416 is a wasteful number, since it uses less digits than its factorization.

20011342416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20011342416 its reverse (61424311002), we get a palindrome (81435653418).

The spelling of 20011342416 in words is "twenty billion, eleven million, three hundred forty-two thousand, four hundred sixteen".