1010561676156 has 120 divisors (see below), whose sum is σ = 2658700299024. Its totient is φ = 334702368000.

The previous prime is 1010561676139. The next prime is 1010561676169. The reversal of 1010561676156 is 6516761650101.

1010561676156 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 561 + 6 + 76 + 15 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112267656 + ... + 112276656.

Almost surely, 2^{1010561676156} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010561676156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329350149512).

1010561676156 is an abundant number, since it is smaller than the sum of its proper divisors (1648138622868).

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

1010561676156 is a wasteful number, since it uses less digits than its factorization.

1010561676156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11193 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1010561676156 in words is "one trillion, ten billion, five hundred sixty-one million, six hundred seventy-six thousand, one hundred fifty-six".