10270800221877 has 24 divisors (see below), whose sum is σ = 15977151439704. Its totient is φ = 6320353549824.

The previous prime is 10270800221779. The next prime is 10270800221909. The reversal of 10270800221877 is 77812200807201.

10270800221877 is a `hidden beast` number, since 1 + 0 + 270 + 80 + 0 + 221 + 87 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123205212036 + 10147595009841 = 351006^2 + 3185529^2 .

It is not a de Polignac number, because 10270800221877 - 2⁷ = 10270800221749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270800221377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4514833 + ... + 6397289.

It is an arithmetic number, because the mean of its divisors is an integer number (665714643321).

Almost surely, 2^{10270800221877} is an apocalyptic number.

It is an amenable number.

10270800221877 is a deficient number, since it is larger than the sum of its proper divisors (5706351217827).

10270800221877 is a wasteful number, since it uses less digits than its factorization.

10270800221877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929109 (or 1929106 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 10270800221877 in words is "ten trillion, two hundred seventy billion, eight hundred million, two hundred twenty-one thousand, eight hundred seventy-seven".