2106289785600 has 4536 divisors, whose sum is σ = 10832325707616. Its totient is φ = 394149888000.

The previous prime is 2106289785581. The next prime is 2106289785617. The reversal of 2106289785600 is 65879826012.

2106289785600 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 2 + 8 + 9 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-3 number, since 3×2106289785600³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 51372921580 + ... + 51372921620.

Almost surely, 2^{2106289785600} is an apocalyptic number.

2106289785600 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 2106289785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416162853808).

2106289785600 is an abundant number, since it is smaller than the sum of its proper divisors (8726035922016).

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

2106289785600 is a wasteful number, since it uses less digits than its factorization.

2106289785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2106289785600 in words is "two trillion, one hundred six billion, two hundred eighty-nine million, seven hundred eighty-five thousand, six hundred".