10067275392 has 64 divisors (see below), whose sum is σ = 26794877760. Its totient is φ = 3349022720.

The previous prime is 10067275391. The next prime is 10067275399. The reversal of 10067275392 is 29357276001.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10067275391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167092 + ... + 219212.

It is an arithmetic number, because the mean of its divisors is an integer number (418669965).

Almost surely, 2^10067275392 is an apocalyptic number.

10067275392 is a gapful number since it is divisible by the number (12) 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 10067275392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397438880).

10067275392 is an abundant number, since it is smaller than the sum of its proper divisors (16727602368).

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

10067275392 is an equidigital number, since it uses as much as digits as its factorization.

10067275392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52641 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 10067275392 in words is "ten billion, sixty-seven million, two hundred seventy-five thousand, three hundred ninety-two".