10627206515712 has 132 divisors (see below), whose sum is σ = 30752986609176. Its totient is φ = 3534649344000.

The previous prime is 10627206515707. The next prime is 10627206515729. The reversal of 10627206515712 is 21751560272601.

10627206515712 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 20 + 6 + 51 + 571 + 2 = 666.

It is a super-2 number, since 2×10627206515712² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2950087 + ... + 5473337.

Almost surely, 2^{10627206515712} is an apocalyptic number.

10627206515712 is a gapful number since it is divisible by the number (12) 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 10627206515712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376493304588).

10627206515712 is an abundant number, since it is smaller than the sum of its proper divisors (20125780093464).

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

10627206515712 is a wasteful number, since it uses less digits than its factorization.

10627206515712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523734 (or 2523713 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10627206515712 in words is "ten trillion, six hundred twenty-seven billion, two hundred six million, five hundred fifteen thousand, seven hundred twelve".