10263404772 has 18 divisors (see below), whose sum is σ = 25943606598. Its totient is φ = 3421134912.

The previous prime is 10263404771. The next prime is 10263404777. The reversal of 10263404772 is 27740436201.

10263404772 is a `hidden beast` number, since 10 + 2 + 634 + 0 + 4 + 7 + 7 + 2 = 666.

10263404772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10053270756 + 210134016 = 100266^2 + 14496^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 285094577 = 10263404772 / (1 + 0 + 2 + 6 + 3 + 4 + 0 + 4 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (10263404771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142547253 + ... + 142547324.

Almost surely, 2^10263404772 is an apocalyptic number.

10263404772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10263404772 is an abundant number, since it is smaller than the sum of its proper divisors (15680201826).

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

10263404772 is a wasteful number, since it uses less digits than its factorization.

10263404772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285094587 (or 285094582 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10263404772 in words is "ten billion, two hundred sixty-three million, four hundred four thousand, seven hundred seventy-two".