2006116126560 has 864 divisors, whose sum is σ = 8893891292832. Its totient is φ = 423263232000.

The previous prime is 2006116126519. The next prime is 2006116126561. The reversal of 2006116126560 is 656216116002.

2006116126560 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 11 + 61 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006116126561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24726060 + ... + 24807060.

It is an arithmetic number, because the mean of its divisors is an integer number (10293855663).

Almost surely, 2^{2006116126560} is an apocalyptic number.

2006116126560 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 2006116126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446945646416).

2006116126560 is an abundant number, since it is smaller than the sum of its proper divisors (6887775166272).

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

2006116126560 is a wasteful number, since it uses less digits than its factorization.

2006116126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81058 (or 81031 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2006116126560 in words is "two trillion, six billion, one hundred sixteen million, one hundred twenty-six thousand, five hundred sixty".