10387866878301 has 16 divisors (see below), whose sum is σ = 15517992783168. Its totient is φ = 6125523465600.

The previous prime is 10387866878269. The next prime is 10387866878351.

It is a happy number.

10387866878301 is nontrivially palindromic in base 10.

10387866878301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10387866878301 - 2⁵ = 10387866878269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387866878351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4253834520 + ... + 4253836961.

It is an arithmetic number, because the mean of its divisors is an integer number (969874548948).

Almost surely, 2^{10387866878301} is an apocalyptic number.

10387866878301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10387866878301 is a deficient number, since it is larger than the sum of its proper divisors (5130125904867).

10387866878301 is a wasteful number, since it uses less digits than its factorization.

10387866878301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507671532.

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 10387866878301 in words is "ten trillion, three hundred eighty-seven billion, eight hundred sixty-six million, eight hundred seventy-eight thousand, three hundred one".