10641779206276 has 27 divisors (see below), whose sum is σ = 18659343454437. Its totient is φ = 5310558298080.

The previous prime is 10641779206273. The next prime is 10641779206301. The reversal of 10641779206276 is 67260297714601.

It is a happy number.

The square root of 10641779206276 is 3262174.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8440831876 + 10633338374400 = 91874^2 + 3260880^2 .

It is a super-2 number, since 2×10641779206276² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10641779206276.

It is not an unprimeable number, because it can be changed into a prime (10641779206271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4221251896 + ... + 4221254416.

Almost surely, 2^{10641779206276} is an apocalyptic number.

10641779206276 is the 3262174-th square number.

It is an amenable number.

10641779206276 is a deficient number, since it is larger than the sum of its proper divisors (8017564248161).

10641779206276 is an frugal number, since it uses more digits than its factorization.

10641779206276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 10641779206276 in words is "ten trillion, six hundred forty-one billion, seven hundred seventy-nine million, two hundred six thousand, two hundred seventy-six".