10802645409627 has 24 divisors (see below), whose sum is σ = 15711913917440. Its totient is φ = 7151903521200.

The previous prime is 10802645409617. The next prime is 10802645409649. The reversal of 10802645409627 is 72690454620801.

10802645409627 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 6 + 4 + 5 + 4 + 0 + 9 + 627 = 666.

It is not a de Polignac number, because 10802645409627 - 2¹⁰ = 10802645408603 is a prime.

It is a super-2 number, since 2×10802645409627² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10802645409607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3292374 + ... + 5696052.

Almost surely, 2^{10802645409627} is an apocalyptic number.

10802645409627 is a deficient number, since it is larger than the sum of its proper divisors (4909268507813).

10802645409627 is a wasteful number, since it uses less digits than its factorization.

10802645409627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407143 (or 2407140 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10802645409627 in words is "ten trillion, eight hundred two billion, six hundred forty-five million, four hundred nine thousand, six hundred twenty-seven".