27857400116121 has 9 divisors (see below), whose sum is σ = 40238489705791. Its totient is φ = 18571589521392.

The previous prime is 27857400116099. The next prime is 27857400116263. The reversal of 27857400116121 is 12161100475872.

The square root of 27857400116121 is 5278011.

It is a perfect power (a square), and thus also a powerful number.

27857400116121 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 7 + 400 + 116 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2179505979225 + 25677894136896 = 1476315^2 + 5067336^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27857400116121 - 2⁵ = 27857400116089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27857400115121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14954365 + ... + 16713701.

Almost surely, 2^{27857400116121} is an apocalyptic number.

27857400116121 is the 5278011-st square number.

27857400116121 is the 2639006-th centered octagonal number.

It is an amenable number.

27857400116121 is a deficient number, since it is larger than the sum of its proper divisors (12381089589670).

27857400116121 is an frugal number, since it uses more digits than its factorization.

27857400116121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518680 (or 1759340 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

It can be divided in two parts, 27857400 and 116121, that added together give a square (27973521 = 5289²).

The spelling of 27857400116121 in words is "twenty-seven trillion, eight hundred fifty-seven billion, four hundred million, one hundred sixteen thousand, one hundred twenty-one".