20106516003840 has 1760 divisors, whose sum is σ = 88397199690624. Its totient is φ = 4265418424320.

The previous prime is 20106516003817. The next prime is 20106516003853. The reversal of 20106516003840 is 4830061560102.

It is a happy number.

20106516003840 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 5 + 1 + 600 + 3 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20106516003795 and 20106516003804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3602669850 + ... + 3602675430.

Almost surely, 2^{20106516003840} is an apocalyptic number.

20106516003840 is a gapful number since it is divisible by the number (20) 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 20106516003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198599845312).

20106516003840 is an abundant number, since it is smaller than the sum of its proper divisors (68290683686784).

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

20106516003840 is a wasteful number, since it uses less digits than its factorization.

20106516003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 20106516003840 its reverse (4830061560102), we get a palindrome (24936577563942).

The spelling of 20106516003840 in words is "twenty trillion, one hundred six billion, five hundred sixteen million, three thousand, eight hundred forty".