10011628066225 has 24 divisors (see below), whose sum is σ = 12486800000000. Its totient is φ = 7962669411840.

The previous prime is 10011628066207. The next prime is 10011628066229. The reversal of 10011628066225 is 52266082611001.

It is not a de Polignac number, because 10011628066225 - 2³³ = 10003038131633 is a prime.

It is a super-3 number, since 3×10011628066225³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011628066229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5408176 + ... + 7019374.

Almost surely, 2^{10011628066225} is an apocalyptic number.

It is an amenable number.

10011628066225 is a deficient number, since it is larger than the sum of its proper divisors (2475171933775).

10011628066225 is a wasteful number, since it uses less digits than its factorization.

10011628066225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612657 (or 1612652 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 10011628066225 in words is "ten trillion, eleven billion, six hundred twenty-eight million, sixty-six thousand, two hundred twenty-five".