2011758755820 has 576 divisors, whose sum is σ = 6761330150400. Its totient is φ = 444832819200.

The previous prime is 2011758755771. The next prime is 2011758755821. The reversal of 2011758755820 is 285578571102.

It is not an unprimeable number, because it can be changed into a prime (2011758755821) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2524163662 + ... + 2524164458.

It is an arithmetic number, because the mean of its divisors is an integer number (11738420400).

Almost surely, 2^{2011758755820} is an apocalyptic number.

2011758755820 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 2011758755820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380665075200).

2011758755820 is an abundant number, since it is smaller than the sum of its proper divisors (4749571394580).

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

2011758755820 is a wasteful number, since it uses less digits than its factorization.

2011758755820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 51.

The spelling of 2011758755820 in words is "two trillion, eleven billion, seven hundred fifty-eight million, seven hundred fifty-five thousand, eight hundred twenty".