10556677182282 has 128 divisors (see below), whose sum is σ = 27190678634496. Its totient is φ = 2651745600000.

The previous prime is 10556677182253. The next prime is 10556677182283. The reversal of 10556677182282 is 28228177665501.

It is a happy number.

It is a super-2 number, since 2×10556677182282² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10556677182283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20962032 + ... + 21459732.

It is an arithmetic number, because the mean of its divisors is an integer number (212427176832).

Almost surely, 2^{10556677182282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10556677182282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595339317248).

10556677182282 is an abundant number, since it is smaller than the sum of its proper divisors (16634001452214).

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

10556677182282 is a wasteful number, since it uses less digits than its factorization.

10556677182282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499236.

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 10556677182282 in words is "ten trillion, five hundred fifty-six billion, six hundred seventy-seven million, one hundred eighty-two thousand, two hundred eighty-two".