2011061535616 has 256 divisors, whose sum is σ = 4780728576000. Its totient is φ = 824454070272.

The previous prime is 2011061535599. The next prime is 2011061535641. The reversal of 2011061535616 is 6165351601102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935573625 + ... + 1935574663.

It is an arithmetic number, because the mean of its divisors is an integer number (18674721000).

Almost surely, 2^{2011061535616} 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 2011061535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390364288000).

2011061535616 is an abundant number, since it is smaller than the sum of its proper divisors (2769667040384).

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

2011061535616 is a wasteful number, since it uses less digits than its factorization.

2011061535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 2011061535616 in words is "two trillion, eleven billion, sixty-one million, five hundred thirty-five thousand, six hundred sixteen".