10138400857 has 8 divisors (see below), whose sum is σ = 11560529736. Its totient is φ = 8808022272.

The previous prime is 10138400801. The next prime is 10138400887. The reversal of 10138400857 is 75800483101.

10138400857 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 4 ways, for example, as 978188176 + 9160212681 = 31276^2 + 95709^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10138400857 - 2¹⁵ = 10138368089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10138400887) 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 7 ways as a sum of consecutive naturals, for example, 22937338 + ... + 22937779.

It is an arithmetic number, because the mean of its divisors is an integer number (1445066217).

Almost surely, 2^10138400857 is an apocalyptic number.

10138400857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10138400857 is a deficient number, since it is larger than the sum of its proper divisors (1422128879).

10138400857 is a wasteful number, since it uses less digits than its factorization.

10138400857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45875147.

The product of its (nonzero) digits is 26880, while the sum is 37.

Adding to 10138400857 its reverse (75800483101), we get a palindrome (85938883958).

The spelling of 10138400857 in words is "ten billion, one hundred thirty-eight million, four hundred thousand, eight hundred fifty-seven".