10627786052 has 54 divisors (see below), whose sum is σ = 20372181102. Its totient is φ = 4848689664.

The previous prime is 10627786033. The next prime is 10627786087. The reversal of 10627786052 is 25068772601.

10627786052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 8140370176 + 2487415876 = 90224^2 + 49874^2 .

It is a super-2 number, since 2×10627786052² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10627785994 and 10627786012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28492538 + ... + 28492910.

It is an arithmetic number, because the mean of its divisors is an integer number (377262613).

Almost surely, 2^10627786052 is an apocalyptic number.

It is an amenable number.

10627786052 is a deficient number, since it is larger than the sum of its proper divisors (9744395050).

10627786052 is a wasteful number, since it uses less digits than its factorization.

10627786052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 10627786052 in words is "ten billion, six hundred twenty-seven million, seven hundred eighty-six thousand, fifty-two".