2009116139520 has 896 divisors, whose sum is σ = 7654976409600. Its totient is φ = 440225759232.

The previous prime is 2009116139501. The next prime is 2009116139561. The reversal of 2009116139520 is 259316119002.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5961768792 + ... + 5961769128.

Almost surely, 2^{2009116139520} is an apocalyptic number.

2009116139520 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 2009116139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827488204800).

2009116139520 is an abundant number, since it is smaller than the sum of its proper divisors (5645860270080).

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

2009116139520 is a wasteful number, since it uses less digits than its factorization.

2009116139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The spelling of 2009116139520 in words is "two trillion, nine billion, one hundred sixteen million, one hundred thirty-nine thousand, five hundred twenty".