10254138264 has 48 divisors (see below), whose sum is σ = 28522216320. Its totient is φ = 3325665600.

The previous prime is 10254138239. The next prime is 10254138269. The reversal of 10254138264 is 46283145201.

It is a happy number.

10254138264 is a `hidden beast` number, since 10 + 254 + 138 + 264 = 666.

10254138264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254138269) 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 11 ways as a sum of consecutive naturals, for example, 1921912 + ... + 1927239.

It is an arithmetic number, because the mean of its divisors is an integer number (594212840).

Almost surely, 2^10254138264 is an apocalyptic number.

It is an amenable number.

10254138264 is an abundant number, since it is smaller than the sum of its proper divisors (18268078056).

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

10254138264 is a wasteful number, since it uses less digits than its factorization.

10254138264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849200 (or 3849193 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10254138264 in words is "ten billion, two hundred fifty-four million, one hundred thirty-eight thousand, two hundred sixty-four".