10487877878401 has 36 divisors (see below), whose sum is σ = 13721983712976. Its totient is φ = 7982317007280.

The previous prime is 10487877878389. The next prime is 10487877878411.

10487877878401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10487877878401 - 2⁵ = 10487877878369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10487877878411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20313795 + ... + 20823688.

Almost surely, 2^{10487877878401} is an apocalyptic number.

10487877878401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10487877878401 is a deficient number, since it is larger than the sum of its proper divisors (3234105834575).

10487877878401 is a wasteful number, since it uses less digits than its factorization.

10487877878401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41137562 (or 41137544 counting only the distinct ones).

The product of its (nonzero) digits is 157351936, while the sum is 70.

The spelling of 10487877878401 in words is "ten trillion, four hundred eighty-seven billion, eight hundred seventy-seven million, eight hundred seventy-eight thousand, four hundred one".