2056501126680 has 576 divisors, whose sum is σ = 8392211815680. Its totient is φ = 394450467840.

The previous prime is 2056501126633. The next prime is 2056501126681. The reversal of 2056501126680 is 866211056502.

It is a super-2 number, since 2×2056501126680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056501126681) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17117299 + ... + 17237021.

It is an arithmetic number, because the mean of its divisors is an integer number (14569812180).

Almost surely, 2^{2056501126680} is an apocalyptic number.

2056501126680 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 2056501126680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196105907840).

2056501126680 is an abundant number, since it is smaller than the sum of its proper divisors (6335710689000).

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

2056501126680 is a wasteful number, since it uses less digits than its factorization.

2056501126680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119792 (or 119764 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 2056501126680 in words is "two trillion, fifty-six billion, five hundred one million, one hundred twenty-six thousand, six hundred eighty".