10012963653627 has 32 divisors (see below), whose sum is σ = 15331637283840. Its totient is φ = 5748776100000.

The previous prime is 10012963653587. The next prime is 10012963653673. The reversal of 10012963653627 is 72635636921001.

It is a happy number.

It is not a de Polignac number, because 10012963653627 - 2¹⁰ = 10012963652603 is a prime.

It is a super-2 number, since 2×10012963653627² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10012963653627.

It is not an unprimeable number, because it can be changed into a prime (10012963653127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12173752 + ... + 12970202.

It is an arithmetic number, because the mean of its divisors is an integer number (479113665120).

Almost surely, 2^{10012963653627} is an apocalyptic number.

10012963653627 is a deficient number, since it is larger than the sum of its proper divisors (5318673630213).

10012963653627 is a wasteful number, since it uses less digits than its factorization.

10012963653627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816535.

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 10012963653627 in words is "ten trillion, twelve billion, nine hundred sixty-three million, six hundred fifty-three thousand, six hundred twenty-seven".