10027261067 has 8 divisors (see below), whose sum is σ = 10406391840. Its totient is φ = 9650354560.

The previous prime is 10027261037. The next prime is 10027261081. The reversal of 10027261067 is 76016272001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10027261067 - 2⁶ = 10027261003 is a prime.

It is a super-3 number, since 3×10027261067³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10027261007) 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 7 ways as a sum of consecutive naturals, for example, 546878 + ... + 564915.

It is an arithmetic number, because the mean of its divisors is an integer number (1300798980).

Almost surely, 2^10027261067 is an apocalyptic number.

10027261067 is a deficient number, since it is larger than the sum of its proper divisors (379130773).

10027261067 is a wasteful number, since it uses less digits than its factorization.

10027261067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112133.

The product of its (nonzero) digits is 7056, while the sum is 32.

The spelling of 10027261067 in words is "ten billion, twenty-seven million, two hundred sixty-one thousand, sixty-seven".