2021005756560 has 480 divisors, whose sum is σ = 7465097203200. Its totient is φ = 450777083904.

The previous prime is 2021005756531. The next prime is 2021005756579. The reversal of 2021005756560 is 656575001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192894042 + ... + 192904518.

It is an arithmetic number, because the mean of its divisors is an integer number (15552285840).

Almost surely, 2^{2021005756560} is an apocalyptic number.

2021005756560 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 2021005756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732548601600).

2021005756560 is an abundant number, since it is smaller than the sum of its proper divisors (5444091446640).

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

2021005756560 is a wasteful number, since it uses less digits than its factorization.

2021005756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 2021005756560 in words is "two trillion, twenty-one billion, five million, seven hundred fifty-six thousand, five hundred sixty".