20106565416 has 128 divisors (see below), whose sum is σ = 64165478400. Its totient is φ = 5714573760.

The previous prime is 20106565411. The next prime is 20106565421. The reversal of 20106565416 is 61456560102.

20106565416 is a `hidden beast` number, since 2 + 0 + 106 + 5 + 6 + 541 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20106565411) and next prime (20106565421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20106565411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253981 + ... + 323603.

It is an arithmetic number, because the mean of its divisors is an integer number (501292800).

Almost surely, 2^20106565416 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 20106565416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32082739200).

20106565416 is an abundant number, since it is smaller than the sum of its proper divisors (44058912984).

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

20106565416 is a wasteful number, since it uses less digits than its factorization.

20106565416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69836 (or 69826 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20106565416 in words is "twenty billion, one hundred six million, five hundred sixty-five thousand, four hundred sixteen".