10011628066224 has 160 divisors (see below), whose sum is σ = 26279231719936. Its totient is φ = 3284093030400.

The previous prime is 10011628066207. The next prime is 10011628066229. The reversal of 10011628066224 is 42266082611001.

It is a happy number.

It is a super-3 number, since 3×10011628066224³ (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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383471379 + ... + 383497485.

Almost surely, 2^{10011628066224} is an apocalyptic number.

It is an amenable number.

10011628066224 is an abundant number, since it is smaller than the sum of its proper divisors (16267603653712).

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

10011628066224 is a wasteful number, since it uses less digits than its factorization.

10011628066224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26763 (or 26757 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10011628066224 in words is "ten trillion, eleven billion, six hundred twenty-eight million, sixty-six thousand, two hundred twenty-four".