10267088460 has 96 divisors (see below), whose sum is σ = 30458115072. Its totient is φ = 2575211520.

The previous prime is 10267088411. The next prime is 10267088467. The reversal of 10267088460 is 6488076201.

It is a super-4 number, since 4×10267088460⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10267088467) 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 31 ways as a sum of consecutive naturals, for example, 3069549 + ... + 3072891.

It is an arithmetic number, because the mean of its divisors is an integer number (317272032).

Almost surely, 2^10267088460 is an apocalyptic number.

10267088460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10267088460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229057536).

10267088460 is an abundant number, since it is smaller than the sum of its proper divisors (20191026612).

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

10267088460 is a wasteful number, since it uses less digits than its factorization.

10267088460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10267088460 in words is "ten billion, two hundred sixty-seven million, eighty-eight thousand, four hundred sixty".