10581778282680 has 1152 divisors, whose sum is σ = 41444106762240. Its totient is φ = 2329863782400.

The previous prime is 10581778282639. The next prime is 10581778282693. The reversal of 10581778282680 is 8628287718501.

10581778282680 is a `hidden beast` number, since 1 + 0 + 581 + 7 + 7 + 8 + 28 + 26 + 8 + 0 = 666.

10581778282680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10581778282680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3479701960 + ... + 3479705000.

It is an arithmetic number, because the mean of its divisors is an integer number (35975787120).

Almost surely, 2^{10581778282680} is an apocalyptic number.

10581778282680 is a gapful number since it is divisible by the number (10) 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 10581778282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722053381120).

10581778282680 is an abundant number, since it is smaller than the sum of its proper divisors (30862328479560).

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

10581778282680 is a wasteful number, since it uses less digits than its factorization.

10581778282680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 10581778282680 in words is "ten trillion, five hundred eighty-one billion, seven hundred seventy-eight million, two hundred eighty-two thousand, six hundred eighty".