10267088720 has 40 divisors (see below), whose sum is σ = 27281122944. Its totient is φ = 3520144512.

The previous prime is 10267088641. The next prime is 10267088731. The reversal of 10267088720 is 2788076201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×10267088720⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 9166484 + ... + 9167603.

Almost surely, 2^10267088720 is an apocalyptic number.

10267088720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10267088720 is an abundant number, since it is smaller than the sum of its proper divisors (17014034224).

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

10267088720 is a wasteful number, since it uses less digits than its factorization.

10267088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18334107 (or 18334101 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 10267088720 in words is "ten billion, two hundred sixty-seven million, eighty-eight thousand, seven hundred twenty".