2011062712320 has 1296 divisors, whose sum is σ = 7735242682440. Its totient is φ = 501087928320.

The previous prime is 2011062712301. The next prime is 2011062712369. The reversal of 2011062712320 is 232172601102.

2011062712320 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 627 + 1 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64872990705 + ... + 64872990735.

Almost surely, 2^{2011062712320} is an apocalyptic number.

2011062712320 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 2011062712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867621341220).

2011062712320 is an abundant number, since it is smaller than the sum of its proper divisors (5724179970120).

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

2011062712320 is an frugal number, since it uses more digits than its factorization.

2011062712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2011062712320 in words is "two trillion, eleven billion, sixty-two million, seven hundred twelve thousand, three hundred twenty".